SOLUTION: If 2x+y=8 and x<7, which of the following must be true ? A) y>-6 B) y<-6 C) -6<y<7 D) y<6

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Question 1030091: If 2x+y=8 and x<7, which of the following must be true ?
A) y>-6
B) y<-6
C) -6 D) y<6
Answer by Edwin McCravy(20063) About Me  (Show Source):
You can put this solution on YOUR website!


2x%2By=8 and x%3C7

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Solve the first for 2x

2x+=+8-y

x%3C7, given  

Multiply both sides by 2

2x%3C14

Substitute 8-y for 2x 

8-y%3C14

Subtract 8 from both sides:

-y%3C6

Multiply both sides by -1 reversing inequality:

y%3E-6

Edwin