Question

solve the inequality. graph the solution set. 2 ≤ 3x - 10 ≤ 8
choose the correct graph below
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ob
oc
od

Explanation:

Step1: Add 10 to all parts of inequality

$2 + 10\leq3x-10 + 10\leq8+10$
$12\leq3x\leq18$

Step2: Divide all parts by 3

$\frac{12}{3}\leq\frac{3x}{3}\leq\frac{18}{3}$
$4\leq x\leq6$

The solution set includes all values of $x$ between 4 and 6, inclusive. On a number - line, this is represented by a solid line segment from 4 to 6 with closed circles at 4 and 6.

Answer:

D. (assuming option D is the number - line with a solid line segment from 4 to 6 and closed circles at 4 and 6)