Question

Which ordered pairs are solutions to the inequality y−4x≥−5 ?

Select each correct answer.



(−2, 1)

(−4, 2)

(4, 0)

(5, −2)

(1, −1)

Answer 1

The correct answers are

(-2,1)

(-4,2)

(1,-1)

Explanation:

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Answer 2

The given inequality is
y - 4x ≥ - 5

To find the correct answer, we should test each answer as shown below.
Test (-2. 1):
y - 4x = 1 - 4(-2) = 9
It is ≥ -5.
CORRECT

Test (-4, 2)
y - 4x = 2 - 4(-4) = 18
It is ≥ -5
CORRECT

Test (4,0)
y - 4x = 0 - 4(4) = -16
It is < -5
INCORRECT

Test (5,-2)
y - 4x = -2 - 4(5) = -22
It is < -5
INCORRECT

Test (1,-1)
y - 4x = -1 - 4(1) = -5
It is ≥ -5.
CORRECT

Answer: The correct answers are
(-2,1)
(-4,2)
(1,-1)