Question

Solve the inequality y−1≥7 or y<−1. What is the solution set?

A) y≤−6
B) y≤−8
C) y≥8
D) y≥6

Answer 1

To solve the inequality y−1≥7 or y<−1, we consider two cases: y - 1 ≥ 7 and y < -1. The solution set is y ≥ 8 or y < -1.

Step-by-step explanation:

The given inequality is: y - 1 ≥ 7 or y < -1. To solve it, we need to consider both cases separately.

Case 1: y - 1 ≥ 7

Adding 1 to both sides of the inequality, we get y ≥ 8.

Case 2: y < -1

There are no further steps needed for this case.

Combining the solutions from both cases, the solution set is y ≥ 8 or y < -1.

Therefore, the answer is C) y ≥ 8.