SOLUTION: Please help solve: 7.55<0.75x-2.5<=8.5

Algebra ->  Inequalities -> SOLUTION: Please help solve: 7.55<0.75x-2.5<=8.5      Log On


   

Question 54774: Please help solve:
7.55<0.75x-2.5<=8.5
Answer by Cintchr(481) About Me  (Show Source):
You can put this solution on YOUR website!
+7.55%3C0.75x-2.5%3C=8.5+
This is an "and" problem
we want to concentrate on the portion between the < < symbols
+7.55%3C0.75x-2.5%3C=8.5+
Add 2.5 to all three portions
+7.55%2B2.5%3C0.75x-2.5%2B2.5%3C=8.5%2B2.5+
Combine like terms
+10.05+%3C+0.75x+%3C=11+
Divide all parts by 0.75
+10.05%2F0.75+%3C+0.75x%2F0.75+%3C=11%2F0.75+
divide, and I expressed the answers as fractions since with one you get a repeating decimal
+66%2F5+%3C+x+%3C=44%2F3+