Question

1. which graph shows the correct solution set for the inequality ( 2x < 6 )?

Explanation:

Step1: Solve the inequality

Divide both sides of \(2x < 6\) by \(2\).
$$x<3$$

Step2: Analyze the graph

Since \(x < 3\), the graph should have an open - circle at \(x = 3\) (because \(3\) is not included in the solution set) and a line extending to the left (towards smaller values of \(x\)).

Answer:

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