Question

Which ordered pairs are Solutions to the inequality y-3x<-8? Select each correct answer.

(5,4)
(0,-9)
(-3,-2)
(2,-1)
(1,-5)​

Answer 1

the correct answer Is (5,4), (0,-9)

Explanation:

when x = 5 and y=4 the inequality 4-3(5)<-8 so : -11 < -8.....right

when x = 0 and y=-9 the inequality -9-3(0)<-8 so : -9 < -8.....right

Answer 2

(5,4) and (0,-9)

Explanation:

We are given that an inequality

`y-3x <-8`

We have to find the ordered pair of solution of given inequality.

1.(5,4)

Substitute x=5 and y=4 then we get

`4-3(5)=-11 < -8`

It is a solution of given inequality because it satisfied the given inequality.

Hence, it is true.

2.(0,-9)

Substitute the values then we get

`-9<-8`

It is a solution of given inequality because it satisfied the given inequality.

Hence, it is true.

3.(-3,-2)

Substitute the values then we get

`-2-(-3)(3)=-2+9=7 >-8`

It is not true because it does not satisfied the given inequality.

4.(2,-1)

`-1-3(2)=-1-6 =-7 > -8`

It is not true because it does not satisfied the given inequality.

5.(1,-5)

`-5-3(1)=-5-3=-8\\less -8`

It is not true because it does not satisfied the given inequality.