Question

for each ordered pair (x, y), determine whether it is a solution to the inequality 3x + 9y > -18.

(x, y)	is it a solution?
(5, -4)	○	○
(0, -2)	○	○
(-7, 3)	○	○
(7, 2)	○	○

Explanation:

Step1: Check (5, -4)

Substitute \( x = 5 \), \( y = -4 \) into \( 3x + 9y \):
\( 3(5) + 9(-4) = 15 - 36 = -21 \).
Check if \( -21 > -18 \): No.

Step2: Check (0, -2)

Substitute \( x = 0 \), \( y = -2 \) into \( 3x + 9y \):
\( 3(0) + 9(-2) = 0 - 18 = -18 \).
Check if \( -18 > -18 \): No (since it's equal, not greater).

Step3: Check (-7, 3)

Substitute \( x = -7 \), \( y = 3 \) into \( 3x + 9y \):
\( 3(-7) + 9(3) = -21 + 27 = 6 \).
Check if \( 6 > -18 \): Yes.

Step4: Check (7, 2)

Substitute \( x = 7 \), \( y = 2 \) into \( 3x + 9y \):
\( 3(7) + 9(2) = 21 + 18 = 39 \).
Check if \( 39 > -18 \): Yes.

Answer:

• \((5, -4)\): No
• \((0, -2)\): No
• \((-7, 3)\): Yes
• \((7, 2)\): Yes

(To mark in the table: For \((5, -4)\) select "No"; \((0, -2)\) select "No"; \((-7, 3)\) select "Yes"; \((7, 2)\) select "Yes".)