SOLUTION: x/2-2(x-3) > 1

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Question 88504: x/2-2(x-3) > 1
Found 2 solutions by jim_thompson5910, stanbon:
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
x%2F2-2%28x-3%29+%3E+1

2%28x%2F2-2%28x-3%29%29+%3E2%2A+1 Multiply both sides by 2 to eliminate the denominator

2%2Ax%2F2-2%2A2%28x-3%29+%3E2%2A+1 Distribute

cross%282%29%2Ax%2Fcross%282%29-2%2A2%28x-3%29+%3E2%2A+1 Reduce

x-2%2A2%28x-3%29+%3E2%2A+1

x-4%28x-3%29+%3E2%2A+1 Multiply

x-4x%2B12+%3E2%2A+1 Distribute

-3x%2B12+%3E+2 Combine like terms

-3x%3E+-10 Subtract 12 from both sides

x%3C+-10%2F-3 Divide both sides by -3 (remember, dividing by a negative flips the sign)

x%3C10%2F3

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
x/2-2(x-3) > 1
Multiply thru by 2 to get:
x - 4(x-3) > 2
x-4x+12 >2
-3x > -10
x<10/3
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Cheers,
Stan H.