Question

solve the following ine\\(|3t - 2| \leq 4\\)

Explanation:

Step1: Rewrite absolute value inequality

$-4 \leq 3t - 2 \leq 4$

Step2: Add 2 to all parts

$-4 + 2 \leq 3t - 2 + 2 \leq 4 + 2$
$-2 \leq 3t \leq 6$

Step3: Divide by 3 on all parts

$\frac{-2}{3} \leq \frac{3t}{3} \leq \frac{6}{3}$
$\frac{-2}{3} \leq t \leq 2$

Answer:

$\frac{-2}{3} \leq t \leq 2$