1. Equations & Inequalities

The rule for rewriting an absolute value equation without absolute value bars can be extended to equations with two sets of absolute value bars:If u and v represent algebraic expressions, then |u| = |v| is equivalent to u = v or u = - v. Use this to solve the equations in Exercises 77–84.|4x - 3| = |4x - 5|

The rule for rewriting an absolute value equation without absolute value bars can be extended to equations with two sets of absolute value bars:If u and v represent algebraic expressions, then |u| = |v| is equivalent to u = v or u = - v. Use this to solve the equations in Exercises 77–84.|3x - 1| = |x + 5|

In Exercises 61–76, solve each absolute value equation or indicate that the equation has no solution.|2x - 1| + 3 = 3

In Exercises 61–76, solve each absolute value equation or indicate that the equation has no solution.|x + 1| + 5 = 3

In Exercises 61–76, solve each absolute value equation or indicate that the equation has no solution.2|4 - (5/2)x| + 6 = 18

In Exercises 61–76, solve each absolute value equation or indicate that the equation has no solution.7|5x| + 2 = 16

In Exercises 61–76, solve each absolute value equation or indicate that the equation has no solution.2|3x - 2| = 14

In Exercises 61–76, solve each absolute value equation or indicate that the equation has no solution.|2x - 1| = 5

In Exercises 61–76, solve each absolute value equation or indicate that the equation has no solution.|x - 2| = 7

In Exercises 61–76, solve each absolute value equation or indicate that the equation has no solution.|x| = 8

Solve each radical equation in Exercises 11–30. Check all proposed solutions.√(x + 8) - √(x - 4) = 2

Solve each equation in Exercises 96–102 by the method of your choice. -4|x+1| + 12 = 0

Solve the equations containing absolute value in Exercises 94–95. |2x+1| = 7

Solve each equation. |x + 1 | = |1 -3x|

Solve each equation. |3 - 2x | = |5 - 2x |