Solve for x
x>2
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10-2x<6x-6
Use the distributive property to multiply 2 by 5-x.
10-2x-6x<-6
Subtract 6x from both sides.
10-8x<-6
Combine -2x and -6x to get -8x.
-8x<-6-10
Subtract 10 from both sides.
-8x<-16
Subtract 10 from -6 to get -16.
x>\frac{-16}{-8}
Divide both sides by -8. Since -8 is negative, the inequality direction is changed.
x>2
Divide -16 by -8 to get 2.
Examples
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4 \sin \theta \cos \theta = 2 \sin \theta
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y = 3x + 4
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Matrix
\left[ \begin{array} { l l } { 2 } & { 3 } \\ { 5 } & { 4 } \end{array} \right] \left[ \begin{array} { l l l } { 2 } & { 0 } & { 3 } \\ { -1 } & { 1 } & { 5 } \end{array} \right]
Simultaneous equation
\left. \begin{cases} { 8x+2y = 46 } \\ { 7x+3y = 47 } \end{cases} \right.
Differentiation
\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
Integration
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Limits
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