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문제 42
Explain why the equation | x | = √x² has infinitely many solutions.
문제 43
Solve each equation or inequality. |4x + 3| - 2 = -1
문제 44
Solve each equation or inequality. |8 - 3x| - 3 = -2
문제 45
Solve each equation or inequality. |6 - 2x | + 1 = 3
문제 46
Solve each equation or inequality. | 4 - 4x | + 2 = 4
문제 47
Solve each equation or inequality. | 3x + 1 | - 1 < 2
문제 48
Solve each equation or inequality. | 5x + 2 | - 2 < 3
문제 49
Solve each equation or inequality. | 5x + 1/2 | -2 < 5
문제 50
Solve each equation or inequality. | 2x+ 1/3 | +1 < 4
문제 51
Solve each equation or inequality. | 10 - 4x | + 1 ≥ 5
문제 52
Solve each equation or inequality. | 12- 6x | + 3 ≥ 9
문제 53
Solve each equation or inequality. | 3x- 7 | + 1 > -2
문제 55
Solve each equation or inequality. | 10- 4x | ≥ -4
문제 57
Solve each equation or inequality. | 6- 3x | < -11
문제 59
Solve each equation or inequality. | 8x + 5| = 0
문제 60
Solve each equation or inequality. | 7 + 2x| = 0
문제 61
Solve each equation or inequality. | 4.3x + 9.8| < 0
문제 67
Write an equation involving absolute value that says the distance between p and q is 2 units.
문제 73
Write each statement using an absolute value equation or inequality. r is no less than 1 unit from 29.
문제 83
To see how to solve an equation that involves the absolute value of a quadratic polynomial, such as | x2 - x | = 6, work Exercises 83–86 in order. For x2 - 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.)
문제 87
Use 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.) | 3x2 + x | = 14
문제 89
Use 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.) | 3x2 - 14x | = 5
문제 91
Use 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.) | x2 + 5x + 5 | = 1
문제 93
Use 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.) | x2 - 9 | = x + 3
문제 95
Use 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.) | 4x2 - 23x - 6 | = 0
문제 97
Use 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.) | x2 + 1 | - | 2x | = 0
문제 1
Solve each equation. 2x+8 = 3x+2
문제 3
Solve each equation. 5x-2(x+4)=3(2x+1)
문제 5
Solve each equation. A= 24f / B(p+1), for f (approximate annual interest rate)
문제 7
Solve each problem. If x represents the number of pennies in a jar in an applied problem, which of the following equations cannot be a correct equation for finding x? (Hint:Solve the equations and consider the solutions.)
A. 5x+3 =11
B.12x+6 =-4
C.100x =50(x+3)
D. 6(x+4) =x+24