Question

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

Answer 1

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)