Question

3 which ordered pair is a solution to the system of inequalities shown? 5x - y ≤ -6 y > -2x - 1 a) (5, 2) carving pumpkins b) (-7, -1) solving equations c) (0, -4) making sandcastles d) (-1, 9) driving clown cars e) (2, -3) playing hopscotch

Explanation:

Step1: Test Option A (5,2)

First inequality: $5(5)-2=25-2=23 \leq -6$? No.

Step2: Test Option B (-7,-1)

First inequality: $5(-7)-(-1)=-35+1=-34 \leq -6$? Yes. Second inequality: $-1 > -2(-7)-1=14-1=13$? No.

Step3: Test Option C (0,-4)

First inequality: $5(0)-(-4)=4 \leq -6$? No.

Step4: Test Option D (-1,9)

First inequality: $5(-1)-9=-5-9=-14 \leq -6$? Yes. Second inequality: $9 > -2(-1)-1=2-1=1$? Yes.

Step5: Test Option E (2,-3)

First inequality: $5(2)-(-3)=10+3=13 \leq -6$? No.

Answer:

D) (-1, 9)