Question

which graph represents this inequality?
$x < -4$

Explanation:

Step1: Analyze the inequality symbol

The inequality is \(x < - 4\). The symbol \( < \) means that \(-4\) is not included in the solution set. So, there should be an open circle at \(-4\) on the number - line.

Step2: Determine the direction of the arrow

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

Answer:

The first graph (the one with an open circle at \(-4\) and the arrow pointing to the left) represents the inequality \(x < -4\).