( \frac { 3 } { 2 } x + 2 > 2 x - 3 )
Solve for x
x<10
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\frac{3}{2}x+2-2x>-3
Subtract 2x from both sides.
-\frac{1}{2}x+2>-3
Combine \frac{3}{2}x and -2x to get -\frac{1}{2}x.
-\frac{1}{2}x>-3-2
Subtract 2 from both sides.
-\frac{1}{2}x>-5
Subtract 2 from -3 to get -5.
x<-5\left(-2\right)
Multiply both sides by -2, the reciprocal of -\frac{1}{2}. Since -\frac{1}{2} is negative, the inequality direction is changed.
x<10
Multiply -5 and -2 to get 10.
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Limits
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