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)

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

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

Step-by-step explanation:

If he has twice the number of dimes as quarters, then obviously he has more dimes than quarters. The expression that represents that is

d = 2q

That relates the NUMBER of coins; now we need one that relates the VALUE which is a dollars and cents thing. We know that the combined value of the coins is $2.70. The expression that represents this is

.1d + .25q = 2.70 because dimes are worth .10 and quarters are worth .25

Subbing the first equation into the second gives us

.1(2q) + .25q = 2.70 and

.2q + .25q = 2.70 and

.45q = 2.70 so

q = 6

This means he has 6 quarters. If the umber of dimes is twice as much, then d = 2(6) and d = 12.

He has 6 quarters and 12 dimes