SOLUTION: 1/3|2x-1|<1

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Question 117586: 1/3|2x-1|<1





























Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!
1%2F3%7C2x-1%7C%3C1…we will have 1%2F3%282x-1%29%3C1…and…1%2F3%28-%282x-1%29%29%3C1…

1%2F3%282x-1%29%3C1… … multiply both sides by 3
3%2A%281%2F3%29%282x-1%29%3C1%2A3
2x-1%3C3…
2x%3C3%2B1…

2x%3C+4……divide both sides by 2
x%3C+2……….first solution


1%2F3%28-%282x-1%29%29%3C1
1%2F3%28-2x%2B1%29%3C1……… multiply both sides by 3
3%2A%281%2F3%29%28-2x%2B1%29%3C1%2A3
-2x%2B1%3C3
-2x%3C3-1
-2x%3C2………….. divide both sides by -2
x%3E-1…………..