Question

Which of the following statements best explains why the point (2, -2) is not a solution to the system of

inequalities graphed below?
A. The point (2,-2) satisfies the red inequality but not the blue inequality.
B. The point (2,-2) satisfies the blue inequality but not the red inequality.
C. The point (2,-2) doesn't satisfy either the red or the blue inequalities.
D. The point (2, -2) satisfies both the red and the blue inequalities.

Answer 1

Answer: The correct answer is B

Explanation:

The point (2, -2) satisfies the blue inequality but not the red inequality. Explanation: To solve this system of inequalities, we need to check if the point (2, -2) is a solution to both of the inequalities. The blue inequality is y > 2x - 6. Plugging in the values of x = 2 and y = -2 gives:-2 > 2(2) - 6 => -2 > -2This is true, so the point (2, -2) satisfies the blue inequality. The red inequality is y < 1/2x + 1. Plugging in the values of x = 2 and y = -2 gives: -2 < 1/2(2) + 1 => -2 < 2This is false, so the point (2, -2) does not satisfy the red inequality. Therefore, the correct answer is B. The point (2, -2) satisfies the blue inequality but not the red inequality.