Question

which graph shows the correct representation of {x | x ≤ 5}?

Explanation:

Step1: Analyze the inequality

The inequality \(x\leq5\) means \(x\) can be \(5\) or any number less than \(5\).

Step2: Check the graph elements

A closed - circle (since the inequality includes equality, \(x = 5\) is allowed) at \(5\) and an arrow pointing to the left (towards smaller numbers) should be present.

Answer:

The graph with a closed - circle at \(5\) and an arrow pointing to the left.