Answer:
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