Solve for x
x<2
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5x-10-2\left(x+1\right)<-6
Use the distributive property to multiply 5 by x-2.
5x-10-2x-2<-6
Use the distributive property to multiply -2 by x+1.
3x-10-2<-6
Combine 5x and -2x to get 3x.
3x-12<-6
Subtract 2 from -10 to get -12.
3x<-6+12
Add 12 to both sides.
3x<6
Add -6 and 12 to get 6.
x<\frac{6}{3}
Divide both sides by 3. Since 3 is positive, the inequality direction remains the same.
x<2
Divide 6 by 3 to get 2.
Examples
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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
\int _ { 0 } ^ { 1 } x e ^ { - x ^ { 2 } } d x
Limits
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