Question

Solve the compound inequality a 12 ≤ –36 or a – 7 ≥ 28 for a?

A. a ≤ –24 or a ≥ 21
B. a ≤ –48 or a ≥ 35
C. a ≤ –24 or a ≤ 21
D. a ≥ –48 or a ≤ 35

Answer 1

To solve the compound inequality a + 12 ≤ -36 or a - 7 ≥ 28, we solve each individual inequality and combine their solutions to get a ≤ -48 or a ≥ 35.

Step-by-step explanation:

To solve the given compound inequality, we will solve each individual inequality and then combine their solutions.

First, let's solve the inequality a + 12 ≤ -36. Subtracting 12 from both sides, we get a ≤ -48.

Next, let's solve the inequality a - 7 ≥ 28. Adding 7 to both sides, we get a ≥ 35.

Combining the two solutions, the compound inequality is a ≤ -48 or a ≥ 35, which is option D.