Question

Determine whether (2,-1) and (-4,2) satisfy the inequality 2x-3y>4. Neither (2,-1) nor (-4,2) satisfies the inequality. (-4,2) satisfies the inequality, but (2,-1) does not. (2,-1) satisfies the inequality, but (-4,2) does not. Both (2,-1) and (-4,2) satisfy the inequality.

Answer 1

Answer:

(2,-1) satisfies the inequality, but (-4,2) does not.

Step-by-step explanation:

To verify if the points satisfy the inequality, we replace then in the inequality, and see if we have a true statement or a false one.

(2,-1)

$x = 2, y = -1$

So

$2x - 3y > 4$

$2(2) - 3(-1) > 4$

$4 + 3 > 7$

$7 > 4$

This is a true statement, which means that (2,-1) satisfies the inequality.

(-4,2)

$x = -4, y = 2$

So

$2x - 3y > 4$

$2(-4) - 3(2) > 4$

$-8 - 6 > 7$

$-14 > 4$

This is a false statement, so (-4,2) does not satisfy the inequality.

The correct answer is:

(2,-1) satisfies the inequality, but (-4,2) does not.