Question 280304
4 x- 1/2 < 5x/2 - 5 
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Multiply thru by 2 to get rid of the fractions:
8x - 1 < 5x - 10
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Subtract 3x from both sides:
3x - 1 < -10
Add 1 to both sides:
3x < -9
Divide both sides by 3:
x < -3
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Cheers,
Stan H.