Question

solve the inequality. graph the solution set and write it in interval notation.
$2\leq 3x - 13\leq 5$
choose the correct graph below.
write the solution in interval notation.
5,6 (type your answer in interval notation.)

Explanation:

Step1: Add 13 to all parts

$2 + 13 \leq 3x - 13 + 13 \leq 5 + 13$
$15 \leq 3x \leq 18$

Step2: Divide all parts by 3

$\frac{15}{3} \leq \frac{3x}{3} \leq \frac{18}{3}$
$5 \leq x \leq 6$

Answer:

The correct graph is option D.
The solution in interval notation is $[5,6]$