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
Answer:
- 5 < x < 31
Step-by-step 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
