Problema 101
In Exercises 101–106, solve each equation.
Problema 103
In Exercises 101–106, solve each equation.
Problema 105
In Exercises 101–106, solve each equation.
Problema 107
If 5 times a number is decreased by 4, the principal square root of this difference is 2 less than the number. Find the number(s).
Problema 108
If a number is decreased by 3, the principal square root of this difference is 5 less than the number. Find the number(s).
Problema 140
In Exercises 137–140, determine whether each statement is true or false. If the statement is false, make the necessary change(s) to produce a true statement. The equation |x| = - 6 is equivalent to x = 6 or x = - 6.
Problema 143
Solve for x:
Problema 1
In Exercises 1–14, express each interval in set-builder notation and graph the interval on a number line. (1, 6]
Problema 3
In Exercises 1–14, express each interval in set-builder notation and graph the interval on a number line. [- 5, 2)
Problema 5
In Exercises 1–14, express each interval in set-builder notation and graph the interval on a number line. [- 3, 1]
Problema 7
In Exercises 1–14, express each interval in set-builder notation and graph the interval on a number line. (2, ∞)
Problema 9
In Exercises 1–14, express each interval in set-builder notation and graph the interval on a number line. [- 3, ∞)
Problema 11
In Exercises 1–14, express each interval in set-builder notation and graph the interval on a number line. (- ∞, 3)
Problema 13
In Exercises 1–14, express each interval in set-builder notation and graph the interval on a number line. (- ∞, 5.5)
Problema 15
In Exercises 15–26, use graphs to find each set. (- 3, 0) ∩ [- 1, 2]
Problema 17
In Exercises 15–26, use graphs to find each set. (- 3, 0) ⋃ [- 1, 2]
Problema 19
In Exercises 15–26, use graphs to find each set. (- ∞, 5) ∩ [1, 8)
Problema 21
In Exercises 15–26, use graphs to find each set. (- ∞, 5) ⋃ [1, 8)
Problema 23
In Exercises 15–26, use graphs to find each set. [3, ∞) ∩ (6, ∞)
Problema 25
In Exercises 15–26, use graphs to find each set. [3, ∞) ⋃ (6, ∞)
Problema 27
In 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 < 26
Problema 29
In 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 ≥ 13
Problema 31
In 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 ≥ 36
Problema 35
In 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 + 6
Problema 37
In 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)
Problema 39
In 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 - 2x
Problema 41
In 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 + 1
Problema 43
In 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 > 4
Problema 45
In 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 + 5/18
Problema 47
In 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) - 7
Ch. 1 - Equations and Inequalities
