Question

Which ordered pairs are solutions to the inequality y-4x (greater than or equal to) -5?

Select each correct answer.


(-2,1)

(-4,2)

(1,-1)

(4,0)

(5,-2)

Answer 1

Answer: (1,-1) (-4,2) (-2,1)

Explanation:

Answer 2

(-2,1) , (-4,2) and (1,-1) are the solution to the given expression.

Explanation:

Here, the given expression is y - 4x ≥ -5

Now, checking for the points:

a) ( -2, 1)

y - 4x = 1 - 4(-2) = 1 + 4 = 5

and 5 > -5 . Hence, ( -2, 1) is the solution.

b) ( -4, 2)

y - 4x = 2 - 4(-4) = 2 + 16 = 18

and 18 > -5 . Hence, ( -4, 2) is the solution.

c) ( 1, -1)

y - 4x = -1 - 4(1) = -1 -4 = -5

and -5 = -5 . Hence, ( 1, -1) is the solution.

d) ( 4, 0)

y - 4x = 0 - 4(4) = -16

and -16 is NOT greater than or equal to -5 .

Hence, ( 4, 0) is NOT the solution.

e) ( 5, -2)

y - 4x = -2 - 4(5) = -2 - 20 = -22

and -22 is NOT greater than or equal to -5 .

Hence, ( 5, -2) is NOT the solution.