Solve for x
x>16
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\frac{5}{2}x-8-2x>0
Subtract 2x from both sides.
\frac{1}{2}x-8>0
Combine \frac{5}{2}x and -2x to get \frac{1}{2}x.
\frac{1}{2}x>8
Add 8 to both sides. Anything plus zero gives itself.
x>8\times 2
Multiply both sides by 2, the reciprocal of \frac{1}{2}. Since \frac{1}{2} is positive, the inequality direction remains the same.
x>16
Multiply 8 and 2 to get 16.
Examples
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Matrix
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Simultaneous equation
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\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
Integration
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Limits
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