To determine which graph represents the solution to the inequality, we need to know the specific inequality being represented. Since the inequality isn't provided in your question, I can help you understand how to analyze the options based on common inequalities.
- If the inequality is in the form \( x \geq a \) (for example, \( x \geq 2 \)), the correct graph would start with a closed circle at \( a \) and extend to the right.
- If the inequality is in the form \( x \leq a \) (for example, \( x \leq 2 \)), the correct graph would start with a closed circle at \( a \) and extend to the left.
- If the inequality is in the form \( x > a \), the graph would start with an open circle at \( a \) and extend to the right (but that option isn't present here).
- If the inequality is in the form \( x < a \), the graph would start with an open circle at \( a \) and extend to the left (also not applicable here).
Knowing that you have closed circles in all options suggests that we are dealing with either \( \geq \) or \( \leq \).
- Option A: Closed circle between 2 and 3, heads right. Likely represents \( x \geq 2 \).
- Option B: Closed circle between 2 and 3, heads left. Likely represents \( x \leq 2 \).
- Option C: Closed circle at -1, heads right. Likely represents \( x \geq -1 \).
- Option D: Closed circle at -1, heads left. Likely represents \( x \leq -1 \).
You can select the correct graph based on the inequality you are dealing with. If you provide the specific inequality, I can definitively tell you which option is correct.