## Which of the following points satisfies the inequality x ≥ -3? (Select all that apply.) (0, -2) (5, -5) (-3, 4) (-4, 2)

Question

Which of the following points satisfies the inequality x ≥ -3? (Select all that apply.) (0, -2) (5, -5) (-3, 4) (-4, 2)

in progress 0
1 week 2021-11-23T17:14:16+00:00 2 Answers 0

The correct answer is (0, -2) (5, -5) (-3, 4)

Step-by-step explanation:

The given inequality is x ≥ -3

1) (0, -2)

x ≥ -3

0 ≥ -3  TRUE

2) (5, -5)

x ≥ -3

0 ≥ -3 TRUE

3) (-3, 4)

x ≥ -3

0 ≥ -3 TRUE

4) (-4, -2)

x ≥ -3

5 ≥ -3  FALSE

Therefore the  correct answer is (0, -2) (5, -5) (-3, 4)

(0,-2)

(5,-5)

(-3,4)

Step-by-step explanation:

The given inequality is

If any of this points is a solution, then it must satisfy the given inequality;

We substitute the first point (0,-2) to obtain;

. This is true. hence (0,-2) is a solution.

We substitute the first point (5,-5) to obtain;

. This is also true. Hence (5,-5) is a solution.

We substitute the first point (-3,4) to obtain;

. This is also true. Hence (-3,4) is a solution.

We substitute the first point (-4,2) to obtain;

. This is false. Hence (-4,2) is not a solution.

The first three options are correct.