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math

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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 - ,

    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 - ,

    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 - ,

    It does not say xgreater than and equal to , so I believe the question is a misprint.
    Thank you

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