Question

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

Answer 1

(0,-2)

(5,-5)

(-3,4)

Explanation:

The given inequality is
`x\ge -3`

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

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

`0\ge -3`. This is true. hence (0,-2) is a solution.

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

`5\ge -3`. This is also true. Hence (5,-5) is a solution.

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

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

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

`-4\ge -3`. This is false. Hence (-4,2) is not a solution.

The first three options are correct.

Answer 2

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

Explanation:

The given inequality is x ≥ -3

To find the correct answers

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)