Question

Which of the following correctly shows the systems of inequalities:

y > - 2x + 4
x - y < 22
A) y > - 2x + 4 and x - y < 22
B) y < - 2x + 4 and x + y < 22
C) y > - 2x + 4 and x - y > 22
D) y < - 2x + 4 and x - y < 22

Answer 1

The correct answer is D) y < -2x + 4 and x - y < 22. Option D represents the systems of inequalities accurately.

Step-by-step explanation:

The correct answer is D) y < - 2x + 4 and x - y < 22.

To determine the correct systems of inequalities, we need to analyze each of the given options.

Option A is incorrect because it has a greater than symbol in the first inequality (y > -2x + 4) instead of a less than symbol.

Option B is incorrect because it has a greater than symbol in the first inequality (y < -2x + 4) instead of a less than symbol.

Option C is incorrect because it has a greater than symbol in the second inequality (x - y > 22) instead of a less than symbol.

Option D is correct as it correctly represents the systems of inequalities: y < -2x + 4 and x - y < 22.

Therefore, option D) y < -2x + 4 and x - y < 22 is the correct answer.