1. The problem is to match each inequality with the correct graph description. 2. Let's analyze each inequality and its graph: - $x \geq 12$: This means $x$ is greater than or equal to 12. The graph should have a filled circle at 12 and an arrow pointing right (greater values). - $w < -2$: This means $w$ is less than -2. The graph should have an open circle at -2 and an arrow pointing left (less values). - $y \leq 0$: This means $y$ is less than or equal to 0. The graph should have a filled circle at 0 and an arrow pointing left. - $p > -20$: This means $p$ is greater than -20. The graph should have an open circle at -20 and an arrow pointing right. 3. Now match these with the graph descriptions: - Graph 1: Red horizontal line with arrow left, open circle (top-right) → corresponds to $w < -2$ - Graph 2: Red horizontal line with arrow right, open circle (center-right) → corresponds to $p > -20$ - Graph 3: Red horizontal line with arrow left, filled circle (bottom-right) → corresponds to $y \leq 0$ - Graph 4: Red horizontal line with arrow right, filled circle (top-left) → corresponds to $x \geq 12$ Final matches: - $x \geq 12$ → Graph 4 - $w < -2$ → Graph 1 - $y \leq 0$ → Graph 3 - $p > -20$ → Graph 2