SOLUTION: Solve the following inequality: |2x-1|>5 my work: 2x+1>5 2x-1>5 subtract 1 Add 1 2x=4 2x=6 x=2 x=3

Question 697150: Solve the following inequality: |2x-1|>5
my work:
2x+1>5 2x-1>5
subtract 1 Add 1
2x=4 2x=6
x=2 x=3
Check:
|2(2)-1|>5 |2(3)-1|>5
3>5 no 5>5 no
I'm confused, since 3 and 5 are not greater then five does this mean I have no solution. Therefor my answers of 2 and 3 are wrong or does this mean my answers can't equal 2 or 3.
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
Solve the following inequality: |2x-1|>5
-------------
my work:
2x+1>5 2x-1>5
subtract 1 Add 1
2x=4 2x=6 ************** Don't change to equals, won't work
x=2 x=3
2x-1 > 5
2x > 6
x > 3
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-(2x-1) > 5
-2x+1 > 5
-2x > 4
x < -2

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