Posted by **Es** on Friday, December 28, 2012 at 8:57am.

I asked sue a question yesterday and don't understand the answer can you explain?

Here what it was

I think this question has a typo because none of the multiple choice answers fit.

The question is which of the following values is in the solution set of inequality 8-7x<-6?

A) -3 B)-2 C)2 D)-6

A if you plug in -3 you get

29<-6 no

B) 8+14<-6 no

c) 8-14<-6 so -6<-6 no

D) 8+42<-6 no

Did I do something wrong or are there no correct answers?

Thank you

•math - Ms. Sue, Thursday, December 27, 2012 at 6:44pm

8-7x<-6

-7x < -6 -8

-7x < -14

x = 2

SO WHEN SUE WROTE X=2 shouldn't it be

WHEN YOU SOLVE IT IS X<2

Then when you check it

8-7x<-6

8-7(2)

8-14<-6

-6<-6 IT DOESN'T WORK, PLEASE HELP ME UNDERSTAND HOW X=2 LIKE SUE SAID

THANKS

- math -
**drwls**, Friday, December 28, 2012 at 9:33am
X= 2 leads to -6 on both sides, so "2 is not in the solution set. Neither are the other choices.

You are correct.

C only works if < is replaced by </

- math -
**Reiny**, Friday, December 28, 2012 at 9:37am
let's just solve it ....

8 - 7x < -6

-7x < -14

divide by -7, remember that when we divide by a negative, the inequality sign has to be reversed, so

x > 2

obviously , only positives , so all those negatives can be ruled out

x = 2 does not satisfy x > 2

so there is no answer match-up in the given choices

Look again a the question

Is it it 8 - 7x ≥ -6 ?

if so, then x = 2 would be a solution.

- math -
**Es**, Friday, December 28, 2012 at 9:56am
It does not say xgreater than and equal to , so I believe the question is a misprint.

Thank you

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