Question

for each ordered pair $(x, y)$, determine whether it is a solution to the inequality $4x - 6y > -18$.
$(x, y)$ is it a solution?
yes no
$(-9, -2)$ $circ$ $circ$
$(-5, 1)$ $circ$ $circ$
$(0, 3)$ $circ$ $circ$
$(8, 5)$ $circ$ $circ$

Explanation:

Step1: Substitute (-9, -2) into inequality

$4(-9) - 6(-2) = -36 + 12 = -24$; $-24 > -18$? No.

Step2: Substitute (-5, 1) into inequality

$4(-5) - 6(1) = -20 - 6 = -26$; $-26 > -18$? No.

Step3: Substitute (0, 3) into inequality

$4(0) - 6(3) = 0 - 18 = -18$; $-18 > -18$? No.

Step4: Substitute (8, 5) into inequality

$4(8) - 6(5) = 32 - 30 = 2$; $2 > -18$? Yes.

Answer:

• $(-9, -2)$: No
• $(-5, 1)$: No
• $(0, 3)$: No
• $(8, 5)$: Yes