Question

solve the inequality. graph the solution set and write it in interval notation.
2 ≤ 3x - 16 ≤ 5
choose the correct graph below.
write the solution in interval notation.
(type your answer in interval notation.)

Explanation:

Step1: Add 16 to all parts

$2 + 16\leq3x-16 + 16\leq5 + 16$
$18\leq3x\leq21$

Step2: Divide all parts by 3

$\frac{18}{3}\leq\frac{3x}{3}\leq\frac{21}{3}$
$6\leq x\leq7$

Answer:

The solution in interval - notation is $[6,7]$. The correct graph would be a line - segment on the number line starting at 6 (closed circle) and ending at 7 (closed circle).