03:45Solving inequalities with no solution or all real numbers as solutionsPine View Middle School Math505views

Multiple ChoiceExpress the given set in interval notation and graph.{$x$ | 14 ≤ $x$ < 26} 89viewsHas a video solution.

Multiple ChoiceExpress the given interval in set builder notation and graph. (−∞, 0]107viewsHas a video solution.

Multiple ChoiceExpress the given set in interval notation and graph.$\{$$x$ $\mid $$x\le 7$$\}$ 81viewsHas a video solution.

Multiple ChoiceSolve the inequality. Express the solution set in interval notation and graph. $2x+12>19$82views2rankHas a video solution.

Multiple ChoiceSolve the inequality. Express the solution set in interval notation and graph. $\frac13\left(x+1\right)\ge\frac15\left(3+2x\right)$108views1rankHas a video solution.

Textbook QuestionMatch each equation or inequality in Column I with the graph of its solution set in Column II. | x | = 767viewsHas a video solution.

Textbook QuestionMatch the inequality in each exercise in Column I with its equiva-lent interval notation in Column II. x<-671viewsHas a video solution.

Textbook QuestionIn Exercises 1–14, express each interval in set-builder notation and graph the interval on a number line. (1, 6]189viewsHas a video solution.

Textbook QuestionMatch each equation or inequality in Column I with the graph of its solution set in Column II. | x | = -770viewsHas a video solution.

Textbook QuestionMatch the inequality in each exercise in Column I with its equiva-lent interval notation in Column II. x≤685viewsHas a video solution.

Textbook QuestionMatch the inequality in each exercise in Column I with its equiva-lent interval notation in Column II. -2102viewsHas a video solution.

Textbook QuestionIn Exercises 1–14, express each interval in set-builder notation and graph the interval on a number line. [- 5, 2)278viewsHas a video solution.

Textbook QuestionMatch each equation or inequality in Column I with the graph of its solution set in Column II. | x | > -765viewsHas a video solution.

Textbook QuestionMatch the inequality in each exercise in Column I with its equiva-lent interval notation in Column II. x^2≥0110viewsHas a video solution.

Textbook QuestionMatch each equation or inequality in Column I with the graph of its solution set in Column II. | x | > 758viewsHas a video solution.

Textbook QuestionMatch the inequality in each exercise in Column I with its equiva-lent interval notation in Column II . x≥-6149viewsHas a video solution.

Textbook QuestionMatch each equation or inequality in Column I with the graph of its solution set in Column II. | x | < 754viewsHas a video solution.

Textbook QuestionIn Exercises 1–14, express each interval in set-builder notation and graph the interval on a number line. [- 3, 1]79viewsHas a video solution.

Textbook QuestionMatch the inequality in each exercise in Column I with its equiva-lent interval notation in Column II. 6≤x65viewsHas a video solution.

Textbook QuestionMatch each equation or inequality in Column I with the graph of its solution set in Column II. | x | ≥ 7207viewsHas a video solution.

Textbook QuestionMatch each equation or inequality in Column I with the graph of its solution set in Column II. | x | ≤ 756viewsHas a video solution.

Textbook QuestionIn Exercises 1–14, express each interval in set-builder notation and graph the interval on a number line. (2, ∞)75viewsHas a video solution.

Textbook QuestionMatch each equation or inequality in Column I with the graph of its solution set in Column II. | x | ≠ 748viewsHas a video solution.

Textbook QuestionIn Exercises 1–14, express each interval in set-builder notation and graph the interval on a number line. [- 3, ∞)81viewsHas a video solution.

Textbook QuestionIn Exercises 1–14, express each interval in set-builder notation and graph the interval on a number line. (- ∞, 3)68viewsHas a video solution.

Textbook QuestionIn Exercises 1–14, express each interval in set-builder notation and graph the interval on a number line. (- ∞, 5.5)129viewsHas a video solution.

Textbook QuestionIn Exercises 15–26, use graphs to find each set. (- 3, 0) ∩ [- 1, 2]87viewsHas a video solution.

Textbook QuestionIn Exercises 15–26, use graphs to find each set. (- 3, 0) ⋃ [- 1, 2]88viewsHas a video solution.

Textbook QuestionSolve each inequality. Give the solution set in interval notation. See Examples 1 and 2. 3(x+5)+1≥5+3x112viewsHas a video solution.

Textbook QuestionIn Exercises 15–26, use graphs to find each set. (- ∞, 5) ∩ [1, 8)81viewsHas a video solution.

Textbook QuestionSolve each inequality. Give the solution set in interval notation. See Examples 1 and 2. 8x-3x+2<2(x+7)260viewsHas a video solution.

Textbook QuestionSolve each inequality. Give the solution set in interval notation. See Examples 1 and 2. 2-4x+5(x-1)<-6(x-2)334viewsHas a video solution.

Textbook QuestionSolve each inequality. Give the solution set in interval notation. See Examples 1 and 2. (4x+7)/-3≤2x+5113viewsHas a video solution.

Textbook QuestionIn Exercises 15–26, use graphs to find each set. (- ∞, 5) ⋃ [1, 8)90viewsHas a video solution.

Textbook QuestionSolve each inequality. Give the solution set in interval notation. See Examples 1 and 2. (2x-5)/-8≤1-x85viewsHas a video solution.

Textbook QuestionSolve each inequality. Give the solution set in interval notation. See Examples 1 and 2. (1/3)x+(2/5)x-(1/2)(x+3)≤1/1069viewsHas a video solution.

Textbook QuestionIn Exercises 15–26, use graphs to find each set. [3, ∞) ∩ (6, ∞)176viewsHas a video solution.

Textbook QuestionSolve each inequality. Give the solution set in interval notation. See Examples 1 and 2. -(2/3)x-(1/6)x+(2/3)(x+1)≤4/3299viewsHas a video solution.

Textbook QuestionIn Exercises 15–26, use graphs to find each set. [3, ∞) ⋃ (6, ∞)93viewsHas a video solution.

Textbook QuestionIn all exercises, other than exercises with no solution, use interval notation to express solution sets and graph each solution set on a number line. In Exercises 27–50, solve each linear inequality. 5x + 11 < 26102viewsHas a video solution.

Textbook QuestionSolve each inequality. Give the solution set in interval notation. | 3x - 4 | < 2102viewsHas a video solution.

Textbook QuestionSolve each inequality. Give the solution set in interval notation. See Example 4. -5<5+2x<11131viewsHas a video solution.

Textbook QuestionIn all exercises, other than exercises with no solution, use interval notation to express solution sets and graph each solution set on a number line. In Exercises 27–50, solve each linear inequality. 3x - 7 ≥ 1374viewsHas a video solution.

Textbook QuestionSolve each inequality. Give the solution set in interval notation. . | 3x - 4 | ≥ 2137viewsHas a video solution.

Textbook QuestionSolve each inequality. Give the solution set in interval notation. | 1/2 - x | ≤ 279viewsHas a video solution.

Textbook QuestionIn all exercises, other than exercises with no solution, use interval notation to express solution sets and graph each solution set on a number line. In Exercises 27–50, solve each linear inequality. -9x ≥ 3681viewsHas a video solution.

Textbook QuestionSolve each inequality. Give the solution set in interval notation. See Example 4. 10≤2x+4≤16140viewsHas a video solution.

Textbook QuestionSolve each inequality. Give the solution set in interval notation. | 3/5 + x | < 184viewsHas a video solution.

Textbook QuestionIn all exercises, other than exercises with no solution, use interval notation to express solution sets and graph each solution set on a number line. In Exercises 27–50, solve each linear inequality. 8x - 11 ≤ 3x - 13111viewsHas a video solution.

Textbook QuestionSolve each inequality. Give the solution set in interval notation. See Example 4. 2>-6x+3>-3140viewsHas a video solution.

Textbook QuestionSolve each inequality. Give the solution set in interval notation. 5| x + 1 | > 10113viewsHas a video solution.

Textbook QuestionIn all exercises, other than exercises with no solution, use interval notation to express solution sets and graph each solution set on a number line. In Exercises 27–50, solve each linear inequality. 4(x + 1) + 2 ≥ 3x + 691viewsHas a video solution.

Textbook QuestionSolve each inequality. Give the solution set in interval notation. See Example 4. -4≤(x+1)/2≤5104viewsHas a video solution.

Textbook QuestionSolve each inequality. Give the solution set in interval notation. | 5 - 3x | > 7124viewsHas a video solution.

Textbook QuestionSolve each inequality. Give the solution set in interval notation. | 7 - 3x | > 4120viewsHas a video solution.

Textbook QuestionIn all exercises, other than exercises with no solution, use interval notation to express solution sets and graph each solution set on a number line. In Exercises 27–50, solve each linear inequality. 2x - 11 < - 3(x + 2)180viewsHas a video solution.

Textbook QuestionSolve each inequality. Give the solution set in interval notation. | 5 - 3x | ≤ 7101viewsHas a video solution.

Textbook QuestionSolve each inequality. Give the solution set in interval notation. See Example 4. 1≤(4x-5)/2<9140viewsHas a video solution.

Textbook QuestionSolve each inequality. Give the solution set in interval notation. | 7 - 3x | ≤ 4293viewsHas a video solution.

Textbook QuestionSolve each inequality. Give the solution set in interval notation. | (2/3)x + 1/2 | ≤ 1/6426viewsHas a video solution.

Textbook QuestionIn all exercises, other than exercises with no solution, use interval notation to express solution sets and graph each solution set on a number line. In Exercises 27–50, solve each linear inequality. 1 - (x + 3) ≥ 4 - 2x102viewsHas a video solution.

Textbook QuestionSolve each inequality. Give the solution set in interval notation. | 5/3 - (1/2) x | > 2/9142viewsHas a video solution.

Textbook QuestionSolve each inequality. Give the solution set in interval notation. | 0.01x + 1 | < 0.01118viewsHas a video solution.

Textbook QuestionIn all exercises, other than exercises with no solution, use interval notation to express solution sets and graph each solution set on a number line. In Exercises 27–50, solve each linear inequality. x/4 - 3/2 ≤ x/2 + 192viewsHas a video solution.

Textbook QuestionExplain why the equation | x | = √x² has infinitely many solutions.66viewsHas a video solution.

Textbook QuestionIn all exercises, other than exercises with no solution, use interval notation to express solution sets and graph each solution set on a number line. In Exercises 27–50, solve each linear inequality. 1 - x/2 > 471viewsHas a video solution.

Textbook QuestionIn all exercises, other than exercises with no solution, use interval notation to express solution sets and graph each solution set on a number line. In Exercises 27–50, solve each linear inequality. (x - 4)/6 ≥ (x - 2)/9 + 5/1893viewsHas a video solution.

Textbook QuestionIn all exercises, other than exercises with no solution, use interval notation to express solution sets and graph each solution set on a number line. In Exercises 27–50, solve each linear inequality. 4(3x - 2) - 3x < 3(1 + 3x) - 767viewsHas a video solution.

Textbook QuestionIn all exercises, other than exercises with no solution, use interval notation to express solution sets and graph each solution set on a number line. In Exercises 27–50, solve each linear inequality. 5(x - 2) - 3(x + 4) ≥ 2x - 2053viewsHas a video solution.

Textbook QuestionIn Exercises 51–58, solve each compound inequality. 6 < x + 3 < 8181viewsHas a video solution.

Textbook QuestionIn Exercises 51–58, solve each compound inequality. - 3 ≤ x - 2 < 1114viewsHas a video solution.

Textbook QuestionIn Exercises 51–58, solve each compound inequality. - 11 < 2x - 1 ≤ - 5111viewsHas a video solution.

Textbook QuestionIn Exercises 51–58, solve each compound inequality. - 3 ≤ (2/3)x - 5 < - 1116viewsHas a video solution.

Textbook QuestionIn Exercises 59–94, solve each absolute value inequality. |x| < 3102viewsHas a video solution.

Textbook QuestionIn Exercises 59–94, solve each absolute value inequality. |x - 1| ≤ 2227viewsHas a video solution.

Textbook QuestionIn Exercises 59–94, solve each absolute value inequality. |x + 3| ≤ 4103viewsHas a video solution.

Textbook QuestionIn Exercises 59–94, solve each absolute value inequality. |2x - 6| < 8103viewsHas a video solution.

Textbook QuestionIn Exercises 59–94, solve each absolute value inequality. |3x + 5| < 17107viewsHas a video solution.

Textbook QuestionIn Exercises 59–94, solve each absolute value inequality. |2(x - 1) + 4| ≤ 8150viewsHas a video solution.

Textbook QuestionIn Exercises 59–94, solve each absolute value inequality. |3(x - 1)/4| < 6108viewsHas a video solution.

Textbook QuestionWrite each statement using an absolute value equation or inequality. . m is no more than 2 units from 7.74viewsHas a video solution.

Textbook QuestionIn Exercises 59–94, solve each absolute value inequality. |x| > 3104viewsHas a video solution.

Textbook QuestionIn Exercises 59–94, solve each absolute value inequality. |x - 1| ≥ 287viewsHas a video solution.

Textbook QuestionIn Exercises 59–94, solve each absolute value inequality. |3x - 8| > 7117viewsHas a video solution.

Textbook QuestionWrite each statement using an absolute value equation or inequality. r is no less than 1 unit from 29.110viewsHas a video solution.

Textbook QuestionWrite each statement using an absolute value equation or inequality. q is no more than 8 units from 22.73viewsHas a video solution.

Textbook QuestionIn Exercises 59–94, solve each absolute value inequality. |(2x + 2)/4| ≥ 2106viewsHas a video solution.

Textbook QuestionIn Exercises 59–94, solve each absolute value inequality. |3 - (2/3)x| > 5185viewsHas a video solution.

Textbook QuestionThe temperatures on the surface of Mars in degrees Celsius approximately satisfy the inequality |C + 84 | ≤ 6. What range of temperatures corresponds to this inequality?115viewsHas a video solution.

Textbook QuestionIn Exercises 59–94, solve each absolute value inequality. 3|x - 1| + 2 ≥ 895viewsHas a video solution.

Textbook QuestionIn Exercises 59–94, solve each absolute value inequality. 5|2x + 1| - 3 ≥ 978viewsHas a video solution.

Textbook QuestionIn Exercises 59–94, solve each absolute value inequality. - 2|x - 4| ≥ - 4210viewsHas a video solution.

Textbook QuestionIn Exercises 59–94, solve each absolute value inequality. - 4|1 - x| < - 16189viewsHas a video solution.

Textbook QuestionTo see how to solve an equation that involves the absolute value of a quadratic polynomial, such as | x^2 - x | = 6, work Exercises 83–86 in order. For x^2 - x to have an absolute value equal to 6, what are the two possible values that x may assume? (Hint: One is positive and the other is negative.)291viewsHas a video solution.

Textbook QuestionSolve each inequality. Give the solution set using interval notation. 11x≥2(x-4)101viewsHas a video solution.

Textbook QuestionIn Exercises 59–94, solve each absolute value inequality. 3 ≤ |2x - 1|70viewsHas a video solution.

Textbook QuestionSolve each inequality. Give the solution set using interval notation. -5x - 4≥3(2x-5)116viewsHas a video solution.

Textbook QuestionSolve each inequality. Give the solution set using interval notation. 7x-2(x-3) ≤5(2-x)96viewsHas a video solution.

Textbook QuestionUse the method described in Exercises 83–86, if applicable, and properties of absolute value to solve each equation or inequality. (Hint: Exercises 99 and 100 can be solved by inspection.) | 3x^2 + x | = 1471viewsHas a video solution.

Textbook QuestionSolve each inequality. Give the solution set using interval notation. 5 ≤ 2x -3 ≤ 7301viewsHas a video solution.

Textbook QuestionIn Exercises 59–94, solve each absolute value inequality. 5 > |4 - x|97viewsHas a video solution.

Textbook QuestionSolve each inequality. Give the solution set using interval notation. -8 >3x-5>-12140viewsHas a video solution.

Textbook QuestionIn Exercises 59–94, solve each absolute value inequality. 1 < |2 - 3x|113viewsHas a video solution.

Textbook QuestionIn Exercises 59–94, solve each absolute value inequality. 12 < |- 2x + 6/7| + 3/798viewsHas a video solution.

Textbook QuestionIn Exercises 59–94, solve each absolute value inequality. 4 + |3 - x/3| ≥ 9232viewsHas a video solution.

Textbook QuestionIn Exercises 95–102, use interval notation to represent all values of x satisfying the given conditions. y1 = x/2 + 3, y2 = x/3 + 5/2, and y1 ≤ y2413viewsHas a video solution.

Textbook QuestionIn Exercises 95–102, use interval notation to represent all values of x satisfying the given conditions. y1 = (2/3)(6x - 9) + 4, y2 = 5x + 1, and y1 > y2105viewsHas a video solution.

Textbook QuestionIn Exercises 95–102, use interval notation to represent all values of x satisfying the given conditions. y = 2x - 11 + 3(x + 2) and y is at most 0107viewsHas a video solution.

Textbook QuestionUse the method described in Exercises 83–86, if applicable, and properties of absolute value to solve each equation or inequality. (Hint: Exercises 99 and 100 can be solved by inspection.) | x^4 + 2x^2 + 1 | < 073viewsHas a video solution.

Textbook QuestionIn Exercises 95–102, use interval notation to represent all values of x satisfying the given conditions. y = |2x - 5| + 1 and y > 9107viewsHas a video solution.

Textbook QuestionSolve and graph the solution set on a number line: 3|2x-1| ≥ 21293viewsHas a video solution.

Textbook QuestionIn Exercises 95–102, use interval notation to represent all values of x satisfying the given conditions. y = 8 - |5x + 3| and y is at least 6152viewsHas a video solution.

Textbook QuestionIn Exercises 103–104, use the graph of y = |4 - x| to solve each inequality. |4 - x| ≥ 5102viewsHas a video solution.

Textbook QuestionIn Exercises 105–106, use the table to solve each inequality. - 3 < 2x - 5 ≤ 351viewsHas a video solution.

Textbook QuestionWhen 3 times a number is subtracted from 4, the absolute value of the difference is at least 5. Use interval notation to express the set of all numbers that satisfy this condition.289viewsHas a video solution.

Textbook QuestionWhen 4 times a number is subtracted from 5, the absolute value of the difference is at most 13. Use interval notation to express the set of all numbers that satisfy this condition.231viewsHas a video solution.

Textbook QuestionSolve and graph the solution set on a number line: (2x−3)/4 ≥ 3x/4 + 1/285viewsHas a video solution.

Textbook QuestionWrite each statement using an absolute value equation or inequality. p is at least 3 units from 1.107viewsHas a video solution.