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)

(-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

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step-by-step explanation: