Question

solve the absolute value inequality.
|6x - 3| < 27

rewrite the inequality without absolute value bars. select the correct choice below and fill in the answer box(es) to complete your choice (simplify your answers.)
a. 6x - 3 <

b. < 6x - 3 <

c. 6x - 3 < or 6x - 3 >

Explanation:

Step1: Recall absolute value inequality rule

For $|A| < b$ where $b>0$, rewrite as $-b < A < b$.

Step2: Apply rule to given inequality

Substitute $A=6x-3$ and $b=27$:
$-27 < 6x - 3 < 27$

Answer:

B. $-27 <6x - 3<27$