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