Solve for x
x\geq -1
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-x-\left(-2\right)-\left(x-1\right)\leq 5
To find the opposite of x-2, find the opposite of each term.
-x+2-\left(x-1\right)\leq 5
The opposite of -2 is 2.
-x+2-x-\left(-1\right)\leq 5
To find the opposite of x-1, find the opposite of each term.
-x+2-x+1\leq 5
The opposite of -1 is 1.
-2x+2+1\leq 5
Combine -x and -x to get -2x.
-2x+3\leq 5
Add 2 and 1 to get 3.
-2x\leq 5-3
Subtract 3 from both sides.
-2x\leq 2
Subtract 3 from 5 to get 2.
x\geq \frac{2}{-2}
Divide both sides by -2. Since -2 is negative, the inequality direction is changed.
x\geq -1
Divide 2 by -2 to get -1.
Examples
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{ x } ^ { 2 } - 4 x - 5 = 0
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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
\lim _{x \rightarrow-3} \frac{x^{2}-9}{x^{2}+2 x-3}