Question

solve the inequality $2|x - 6| < 18$.

Explanation:

Step1: Divide both sides by 2

$\frac{2|x-6|}{2} < \frac{18}{2}$
Simplifies to: $|x-6| < 9$

Step2: Rewrite without absolute value

$-9 < x-6 < 9$

Step3: Add 6 to all parts

$-9 + 6 < x - 6 + 6 < 9 + 6$
Simplifies to: $-3 < x < 15$

Answer:

$-3 < x < 15$