Question

Is the ordered pair (-6,3) a solution of the inequality -4x - 8y < 15 ?

A) Yes, the ordered pair is a solution
B) No, the ordered pair is not a solution.

Answer 1

Given:

The inequality is:

`-4x-7y<15`

To find:

The whether (-6,3) is a solution of given inequality of not.

Solution:

We have,

`-4x-7y<15`

We need to check the inequality for point (-6,3).

Substitute
`x=-6, y=3` in the given inequality.

`-4(-6)-7(3)<15`

`24-21<15`

`3<15`

This statement is true. It means the point (-6,3) satisfies the given inequality.

Therefore, the correct option is A. Yes, the ordered pair is a solution.