Question

which graph represents this inequality?
x ≤ 4

Explanation:

Step1: Analyze the inequality symbol

The inequality \(x\leq4\) has a "less than or equal to" symbol (\(\leq\)). This means the value \(x = 4\) is included in the solution set. On a number - line, this is represented by a closed (filled) circle at \(x = 4\).

Step2: Determine the direction of the arrow

Since \(x\) is less than or equal to \(4\), the values of \(x\) that satisfy the inequality are to the left of \(4\) on the number - line. So the arrow should point to the left.

Answer:

The second number - line (the one with the closed circle at \(4\) and the arrow pointing to the left) represents the inequality \(x\leq4\).