SOLUTION: -8<_2x-10<_10

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Question 115861: -8<_2x-10<_10
Answer by MathLover1(20855) About Me  (Show Source):
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-8%3C=2x-10%3C=10............add 10 to all three terms
-8%2B10%3C=2x-10%2B10%3C=10%2B10
2%3C=2x%3C=20............divide all three terms by 2
1%3C=x%3C=10....so,
inequality is true for every x from the set : [1,2,3,4,5,6,7,8,9,10]

check:
-8%3C=2%2A1-10%3C=10............
-8%3C=-8%3C=10............true
-8%3C=2%2A2-10%3C=10............
-8%3C=-6%3C=10............true
-8%3C=2%2A3-10%3C=10............
-8%3C=-4%3C=10............true
:
:
:
-8%3C=2%2A10-10%3C=10............
-8%3C=20-10%3C=10............
-8%3C=10%3C=10............true