SOLUTION: -4<-3x-13<26

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Question 72908: -4<-3x-13<26
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
-4%3C-3x-13%3C26
-4%2B13%3C-3x%2Bcross%28-13%2B13%29%3C26%2B13Add 13 to all sides (this cancels the -13)
9%2F-3%3Ccross%28-3%2F-3%29x%3C39%2F-3Divide all sides by -3 (remember multiplying or dividing a negative flips the greater and less than signs)
-3%3Ex%3E-13
-13%3Cx%3C-3Rearrange in a familiar form. So this is the solution range.
Check:
Pick any number within -13 to -3, let x=-5
-4%3C-3%2A%28-5%29-13%3C26
-4%3C15-13%3C26
-4%3C2%3C26It's in range and it works. We could check this further by trying every number but I did one to show that the solution works for that number.