Answer:
(-4,2),(-2,1) and (1, -1) are solutions to the inequality
Step-by-step explanation:
which ordered pairs are solutions to the inequality y−4x≥−5? Select each correct answer. (−4, 2) (4, 0) (5, −2) (−2, 1) (1, −1)
We will test all the solutions and see which pairs are the solution to the inequality
(−4, 2)
x = -4 and y = 2
we will plug it into the inequality and see
y−4x≥−5
2 - 4(-4) ≥−5
2 + 16 ≥−5
18≥−5
This is true, therefore (−4, 2) is a solution
Next is (4, 0), x = 4 and y=0
y−4x≥−5
0 - 4(4)≥−5
0 -16 ≥−5
-16≥−5
This is not true, therefore (4,0) is not a solution
Next is (5, -2) x= 5 and y = -2
y - 4x ≥−5
-2 - 4(5) ≥−5
-2 - 20 ≥−5
-22≥−5
This is not true, therefore (5, -2) is not a solution to the inequality
Next is (-2,1) x= -2 and y = 1
y - 4x ≥−5
1 - 4(-2) ≥−5
1 + 8 ≥−5
9≥−5
This is true, therefore (-2,1) is a solution to the inequality
Next is (1, -1) x= 1 and y =-1
y - 4x ≥−5
-1 -4(1)≥−5
-1 -4≥−5
-5≥−5
This is true, therefore (1,-1) is a solution to the inequality
Therefore; (-4,2),(-2,1) and (1, -1) are solutions to the inequality
