Question

5 which ordered pair is a solution to the system of inequalities shown? 5x + 4y ≤ -8 y < -7 a) (-7, -1) earth day b) (2, -8) mardi gras c) (4, -3) father’s day d) (0, 10) new year’s eve e) (-1, 5) st. patrick’s day

Explanation:

Step1: Check y < -7 for each option

A: -1 > -7 (no); B: -8 < -7 (yes); C: -3 > -7 (no); D:10 > -7 (no); E:5 > -7 (no)

Step2: Verify B in 5x+4y ≤ -8

Substitute x=2, y=-8: $5(2) + 4(-8) = 10 - 32 = -22 ≤ -8$ (yes)

Answer:

B) (2, -8) Mardi Gras