Which ordered pair is a solution to the system of inequalities? y > –x y ≤ x + 1 A) (0,5) B) (4,–1) C) (1,3) D) (–4,0)

Question

asked Jan 22, 2022 227k views

2 Answers

Daniel Flannery · Answer 1 · 2022-01-24T07:41:18+0000

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Step-by-step explanation:

Choice A can be ruled out because

$y \le x+1\\\\5 \le 0+1\\\\5 \le 1\\\\$

which is false.

Choices C and D are similar, so they can be ruled out as well.

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Choice B is the answer because it makes both inequalities true.

If we plug the coordinates of (4,-1) into the first inequality, we get

$y > -x\\\\-1 > -4$

which is a true statement because -1 is to the right of -4 on the number line.

Now try the other inequality

$y \le x+1\\\\-1 \le 4+1\\\\-1 \le 5\\\\$

that's true also. So again, (4,-1) makes both inequalities true, and that's why choice B is the answer.

Mike Demidov · Answer 2 · 2022-01-26T20:32:53+0000

9514 1404 393

Answer:

B) (4,–1)

Step-by-step explanation:

A graph can help you figure this out. The point (4, -1) is in the doubly-shaded area, so is a solution to this system.