math
posted by Es on .
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 87x<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) 814<6 so 6<6 no
D) 8+42<6 no
Did I do something wrong or are there no correct answers?
Thank you
â€¢math  Ms. Sue, Thursday, December 27, 2012 at 6:44pm
87x<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
87x<6
87(2)
814<6
6<6 IT DOESN'T WORK, PLEASE HELP ME UNDERSTAND HOW X=2 LIKE SUE SAID
THANKS

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 </ 
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 matchup in the given choices
Look again a the question
Is it it 8  7x ≥ 6 ?
if so, then x = 2 would be a solution. 
It does not say xgreater than and equal to , so I believe the question is a misprint.
Thank you