SOLUTION: 5+X<2X+1<6-X Can anyone help me understand how to solve this?

Question 124822: 5+X<2X+1<6-X
Can anyone help me understand how to solve this?
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!

There are actually two relationships established here. Deal with each one separately.

Add -1 to each side.

Add -x to each side.

Now look at the other relationship

Add -1 to each side

Add x to each side

Divide by 3. (since we are dividing by a positive number, we keep the sense of the inequality as it is)

So, x must simultaneously be less than 5/3 and greater than 4. Impossible. There is no value of x that makes the original inequality a true statement.
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