Question

Which ordered pair are solutions to the inequality y - 3x < -8?

Answer 1

The ordered pair that is a solution to the inequality y - 3x < -8 is given as follows:

(0, -9).

How to verify if an ordered pair is a solution to the inequality?

We replace the ordered pair into the inequality, then verify if it reaches an identity or a contradiction.

In this problem, the inequality is:

y - 3x < -8.

For the first ordered pair, given by (0, -9), we have that:

-9 - 3(0) < - 8

-9 < -8

Which is a true statement, hence it is a solution.

For the second ordered pair, given by (5,4), we have that:

5 - 3(4) < -8

5 - 12 < -8

-7 < -8

Which is false, hence this is a not a solution.

For the third ordered pair, given by (-3,-2), we have that:

2 - 3(-3) < -8

2 + 9 < -8

11 < -8

Which is false, hence this is a not a solution.

For the fourth ordered pair, given by (1,-5), we have that:

1 - 3(-5) < -8

1 + 15 < -8

16 < -8

Which is false, hence this is a not a solution.

For the fifth ordered pair, given by (2,-1), we have that:

-1 - 3(2) < -8

-1 - 6 < -8

-7 < -8

Which is false, hence this is a not a solution.

More can be learned about inequalities at brainly.com/question/25275758

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