Question

systems of linear equations and inequalities
identifying solutions to a linear inequality in two variables
for each ordered pair (x, y), determine whether it is a solution to the inequality y ≤ 0.

(x, y)	is it a solution?
(4, 22)	∘ (yes)	∘ (no)
(-8, -52)	∘ (yes)	∘ (no)
(-9, -61)	∘ (yes)	∘ (no)

Explanation:

Step1: Analyze (6, 30)

Check if \( y = 30 \leq 0 \). Since \( 30 > 0 \), it's not a solution.

Step2: Analyze (4, 22)

Check if \( y = 22 \leq 0 \). Since \( 22 > 0 \), it's not a solution.

Step3: Analyze (-8, -52)

Check if \( y = -52 \leq 0 \). Since \( -52 < 0 \), it is a solution.

Step4: Analyze (-9, -61)

Check if \( y = -61 \leq 0 \). Since \( -61 < 0 \), it is a solution.

Answer:

• (6, 30): No
• (4, 22): No
• (-8, -52): Yes
• (-9, -61): Yes