Solve for x
x\geq 1
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4-x-1\leq 2x
To find the opposite of x+1, find the opposite of each term.
3-x\leq 2x
Subtract 1 from 4 to get 3.
3-x-2x\leq 0
Subtract 2x from both sides.
3-3x\leq 0
Combine -x and -2x to get -3x.
-3x\leq -3
Subtract 3 from both sides. Anything subtracted from zero gives its negation.
x\geq \frac{-3}{-3}
Divide both sides by -3. Since -3 is negative, the inequality direction is changed.
x\geq 1
Divide -3 by -3 to get 1.
Examples
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{ x } ^ { 2 } - 4 x - 5 = 0
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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
\int _ { 0 } ^ { 1 } x e ^ { - x ^ { 2 } } d x
Limits
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