Question

Solve the absolute value
|2x+3|-5<12

Answer 1

- 10 < x < 7

Explanation:

Inequalities of the type | x | < a

Always have solutions of the form

- a < x < a

Given

| 2x + 3 | - 5 < 12 ( add 5 to both sides )

| 2x + 3 | < 17 , then

- 17 < 2x + 3 < 17 ( subtract 3 from all 3 intervals )

- 20 < 2x < 14 ( divide the 3 intervals by 2 )

- 10 < x < 7