Question

which graph represents the solution set of this inequality?
11q + 5 ≤ 49
choose 1 answer:
a
number line a
b
number line b
c
number line c
d
number line d

Explanation:

Step1: Isolate the variable term

Subtract 5 from both sides.
$11q + 5 - 5 \leq 49 - 5$
$11q \leq 44$

Step2: Solve for q

Divide both sides by 11.
$\frac{11q}{11} \leq \frac{44}{11}$
$q \leq 4$

Step3: Match to number line

A closed dot at 4, arrow left.

Answer:

B. <graph with closed green dot at 4, arrow pointing left to negative infinity>