Determine which ordered pairs are part of the solution set for each inequality.

Question

  ⎪x - 3⎥  ≥ y, {(6, 4), (-1, 8), (-3, 2), (5, 7)}

Answer 1

|x-3| ≥ y

To determine the solution substitute the coordinate pairs in x,y places.

1) (6,4)

|6-3| ≥ 4

3 ≥ 4

The statement is false.

2) (-1,8)

|-1-3| ≥ 8

4 ≥ 8

The statement is false.

3) (-3,2)

|-3-3| ≥ 2

6 ≥ 2

The statement is true.

4) (5,7)

|5-3| ≥ 7

2 ≥ 7

The statement is false.

(-3,2) is part of the solution set for inequality.