Question

You just have to tell me if the circles are open or closed.

Answer 1

Step-by-step explanation:

The given inequalities are

y - 2 < - 5 or y - 2 > 5

The first step is to solve for y in the inequalities. We have

For y - 2 < - 5,

Adding 2 to both sides of the inequality, we have

y - 2 + 2 < - 5 + 2

y < - 3

For y - 2 > 5,

Adding 2 to both sides, we have

y - 2 + 2 > 5 + 2

y > 7

Thus, the solution set is

y < - 3 or y > 7

All values less than y = - 3 and greater than y = 7

(- infinity, - 3) U (7, infinity)

The values of y that satisfies this inequality is between - 3 and 7 and they are non inclusive. This means that the circles are open. The graph of the solution set is shown below