Question

Which inequality describes the solution set graphed above?

a) |x - 1| < 2
b) |x - 1| ≥ 2
c) |x + 1| < 2
d) |x + 1| ≥ 2

Answer 1

The inequality that describes the solution set graphed above is |x + 1| ≥ 2.

Step-by-step explanation:

The inequality that describes the solution set graphed above is d) |x + 1| ≥ 2.

To determine this, we need to analyze the graph. The graph has a vertical line passing through the point (-1, 2). This means that any value of x that is greater than or equal to -1 will satisfy the inequality. Therefore, the correct inequality is |x + 1| ≥ 2.