Question

which number line represents the solution set for the inequality ( 3x < -9 )?

Explanation:

Step1: Solve the inequality

Given \(3x < - 9\), divide both sides by \(3\).
\(x < - 3\)

Step2: Analyze the number - line representation

When \(x < - 3\), on the number line, there is an open circle at \(-3\) (because \(-3\) is not included in the solution set, since the inequality is strict \( <\)) and the line extends to the left (towards smaller numbers).

Answer:

The number line with an open circle at \(-3\) and shading to the left.