1. Equations & Inequalities

In Exercises 59–94, solve each absolute value inequality.3|x - 1| + 2 ≥ 8

In Exercises 59–94, solve each absolute value inequality.5|2x + 1| - 3 ≥ 9

In Exercises 59–94, solve each absolute value inequality.- 2|x - 4| ≥ - 4

In Exercises 59–94, solve each absolute value inequality.- 4|1 - x| < - 16

To 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.)

Solve each inequality. Give the solution set using interval notation. 11x≥2(x-4)

In Exercises 59–94, solve each absolute value inequality.3 ≤ |2x - 1|

Solve each inequality. Give the solution set using interval notation. -5x - 4≥3(2x-5)

Solve each inequality. Give the solution set using interval notation. 7x-2(x-3) ≤5(2-x)

Use the method described in Exercises 83–86, if applicable, and properties ofabsolute value to solve each equation or inequality. (Hint: Exercises 99 and 100 canbe solved by inspection.) | 3x^2 + x | = 14

Solve each inequality. Give the solution set using interval notation. 5 ≤ 2x -3 ≤ 7

In Exercises 59–94, solve each absolute value inequality.5 > |4 - x|

Solve each inequality. Give the solution set using interval notation. -8 >3x-5>-12

In Exercises 59–94, solve each absolute value inequality.1 < |2 - 3x|

In Exercises 59–94, solve each absolute value inequality.12 < |- 2x + 6/7| + 3/7