Question

which graph represents the solution set of the inequality ( x + 2 geq 6 )?

Explanation:

Step1: Solve the inequality

Subtract \(2\) from both sides of \(x + 2\geq6\).
\(x+2-2\geq6 - 2\)
\(x\geq4\)

Step2: Analyze the graph

When \(x\geq4\), the graph should have a closed - circle at \(x = 4\) (because the inequality is \(\geq\), including \(x = 4\)) and the line should extend to the right (since \(x\) is greater than or equal to \(4\)).

Answer:

The third graph (the one with a closed - circle at \(4\) and an arrow extending to the right) represents the solution set of the inequality \(x + 2\geq6\).