Question

What are the solutions to the equation |2x-3|+4=17

Answer 1

First, let's subtract both sides by 4:

|2x - 3| = 13

We can get two different equations from this:

2x - 3 = 13

and

2x - 3 = -13

So:

2x = 16

2x = -10

x = 8, x = -5

The solution set is {8, -5}

Answer 2

$|2x-3|=\left\{\begin{array}{ccc}2x-3&for&2x-3\geq0\to x\geq1.5\\-(2x-3)&for&2x-3 < 0\to x$