54.5k views
4 votes
4. Given the inequality 5x + 3y < -6, is (3,-7) a solution to the inequality?

4. Given the inequality 5x + 3y < -6, is (3,-7) a solution to the inequality?-example-1
User Kimberely
by
4.6k points

1 Answer

5 votes

Inequalities

We have the inequality

5x + 3y < -6

It's required to find if the point (3,-7) is a solution to the inequality

Substituting into the inequality:

5(3) + 3(-7) < -6

15 - 21 < -6

-6 < -6

Since the inequality is false, the point is not a solution to the inequality

It's important to notice the point lies on the line since both sides are equal. The inequality does not include the equal sign, but the point does not lie on any shaded region or outside of it.

We don't have any graph to choose options from, but the correct answer is:

No - because the point falls on the line, and since the line is solid it is equal to...

User Aljoshare
by
5.2k points