Question

Which ordered pairs are solutions to the inequality y−3x<−8?

Select each correct answer.
a. (1, −5)
b. (2, −1)
c. (0, −9) <
d. (5, 4) <
e. (−3, −2)

c and d are my answers. I need someone to check. Thank you so much.

Answer 1

the correct answers are b. (2, -1) and d. (5, 4)

Answer 2

Solution: The correct options are option (c) and option (d).

Step-by-step explanation:

The given inequality is
`y-3x<-8`.

To check whether the ordered pair is the solution of the inequality or not, Substitute the value of coordinates in the inequality. If it satisfies the inequality, then the ordered pair is the solution of the inequality.

(a)Check the ordered pair (1,-5)

`(-5)-3(1)<-8\\-8<-8`

The above statement is false, therefore the ordered pair (1,-5) is not the answer of given inequality is
`y-3x<-8`.

(b)Check the ordered pair (2,-1)

`(-1)-3(2)<-8\\-7<-8`

The above statement is false, therefore the ordered pair (2,-1) is not the answer of given inequality is
`y-3x<-8`.

(c)Check the ordered pair (0,-9)<

`(-9)-3(0)<-8\\-9<-8`

The above statement is true, therefore the ordered pairs (0,-9)< are the answers of given inequality is
`y-3x<-8`.

(d)Check the ordered pair (5,4)<

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

The above statement is true, therefore the ordered pairs (5,4)< are the answers of given inequality is
`y-3x<-8`.

(e)Check the ordered pair (-3,-2)

`(-2)-3(-3)<-8\\7<-8`

The above statement is false, therefore the ordered pair (-3,-2) is not the answer of given inequality is
`y-3x<-8`.

Therefore, the correct options are option (c) and option (d).