Question

Which ordered pair is a solution to the inequality?

Answer 1

Answer:

(-3, -1/2)

Step-by-step explanation:

Plug in the numbers for x and y. If the left side of the equation is greater than the right side (0), then ordered pair is a solution to the inequality.

Answer 2

Answer:

$\large\boxed{\left(-3,\ -\dfrac{1}{2}\right)}$

Step-by-step explanation:

Convert the inequality to the form y > mx + b:

$-\dfrac{2}{3}x-4y>0$          add 2/3x to both sides

$-4y>\dfrac{2}{3}x$           change the signs

$4y$       divide both sides by 4

$y$

$y$

Put the coordinates of the points to the inequality and check:

for (-15, 3):

$3$

for (6, 3):

$3$

for (-3, -1/2):

$-\dfrac{1}{2}$

for (6, -1/4):

$-\dfrac{1}{4}$