Question

the solution to $|2x + 1| - 5 leq 2$ is $-4 leq x leq 3$. select the number line that represents the solution.

Explanation:

Step1: Analyze the inequality solution

The solution $-4\leq x\leq3$ means all values of $x$ between - 4 and 3 inclusive.

Step2: Identify the correct number - line representation

On a number - line, we use closed circles at - 4 and 3 to represent the inclusive endpoints and shade the region between them.

Answer:

The third number - line (where there are closed circles at - 4 and 3 and the region between them is shaded) represents the solution.