Question

identifying the graph of an inequality
choose the graph of the solution to the inequality ( x < - 15 )?

Explanation:

Step1: Analyze the inequality symbol

The inequality is \(x < - 15\). The symbol \( < \) means an open - circle (since the value \(-15\) is not included in the solution set) and the line should extend to the left (towards smaller numbers).

Step2: Check each graph

• The first graph has a closed - circle at \(-15\) (incorrect as the inequality is \(x < - 15\), not \(x\leqslant - 15\)).
• The second graph does not have a circle at \(-15\) (incorrect).
• The third graph has an open - circle at \(-15\) and the line extends to the left (correct).
• The fourth graph has a closed - circle at \(-15\) (incorrect).

Answer:

The third graph (the one with an open - circle at \(-15\) and the line extending to the left).