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:

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

Step-by-step 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.