Question

Which of the following is the solution to |x-13|<18

Answer 1

- 5 < x < 31

Explanation:

Inequalities of the type | x | < a, always have a solution of the form

- a < x < a

given | x - 13 | < 18, then

- 18 < x - 13 < 18 ( add 13 to all 3 intervals )

-5 < x < 31

Answer 2

Rewrite the inequality without the absolute value

-18 < x - 13 < 18

Add 13 to the whole equation

-18 + 13 < x < 18 + 13

Simplify

-5 < x < 31