Question

which graph shows the solution set for 2x + 3 > -9?

Explanation:

Step1: Solve the inequality

$$\begin{align*} 2x + 3&>-9\\ 2x&>-9 - 3\\ 2x&>-12\\ x&>-6 \end{align*}$$

Step2: Analyze the graph

An open circle at $-6$ (because the inequality is $>$ not $\geq$) and the arrow pointing to the right (since $x$ is greater than $-6$).

Answer:

The graph with an open circle at $-6$ and an arrow pointing to the right.