Question

solve the following inequa\\(|7t - 2| \leq 12\\)

Explanation:

Step1: Rewrite absolute value inequality

$-12 \leq 7t - 2 \leq 12$

Step2: Add 2 to all parts

$-12 + 2 \leq 7t - 2 + 2 \leq 12 + 2$
$-10 \leq 7t \leq 14$

Step3: Divide all parts by 7

$\frac{-10}{7} \leq \frac{7t}{7} \leq \frac{14}{7}$
$\frac{-10}{7} \leq t \leq 2$

Answer:

$\frac{-10}{7} \leq t \leq 2$