Answer | Step-by-step explanation:
Based on the information provided, it seems that the options for the number line are not clearly mentioned in your question. However, I can explain how to determine the solution to the given inequality.
The inequality given is -7x - 132 ≥ 87.
To find the solution, we need to isolate the variable x.
Step 1: Subtract 132 from both sides of the inequality:
-7x - 132 - 132 ≥ 87 - 132
-7x - 264 ≥ -45
Step 2: Divide both sides of the inequality by -7. Remember that when dividing or multiplying by a negative number, we need to reverse the inequality sign.
(-7x - 264) / -7 ≤ (-45) / -7
x + 37 ≤ 6
Step 3: Subtract 37 from both sides of the inequality:
x + 37 - 37 ≤ 6 - 37
x ≤ -31
Therefore, the solution to the inequality -7x - 132 ≥ 87 is x ≤ -31.
Please provide more information or clarify the options for the number line if you need further assistance.