Question

Which of the following points does not satisfy the inequality 3y - x < 11?

Answer 1

Answer:

-2, 3

Step-by-step explanation:

If ×=-2 and y=3 then this would make the inequality equal to one another.

Answer 2

Answer: Choice A.  (-2, 3)

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Explanation:

Let's try the point from choice A

We'll plug in x = -2 and y = 3

3y - x < 11

3(3) - (-2) < 11

9 + 2 < 11

11 < 11

That last statement is false, so choice A must be the answer. The point (x,y) = (-2,3) makes the inequality 3y - x < 11 false.

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For the sake of completeness, I'll go over choices B and C.

First choice B. We plug in x = 4 and y = 1

3y - x < 11

3(1) - 4 < 11

3 - 4 < 11

-1 < 11

The last statement is true, which makes the first inequality true when x = 4 and y = 1. This shows choice B is a solution.

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We'll now try choice C

Plug in x = -5 and y = -1

3y - x < 11

3(-1) - (-5) < 11

-3 + 5 < 11

2 < 11

The same situation occurs as did with choice B. We also have a solution here.