Solve for x
x\geq -\frac{1}{6}
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-2x-\left(-1\right)\leq 2\left(2x+1\right)
To find the opposite of 2x-1, find the opposite of each term.
-2x+1\leq 2\left(2x+1\right)
The opposite of -1 is 1.
-2x+1\leq 4x+2
Use the distributive property to multiply 2 by 2x+1.
-2x+1-4x\leq 2
Subtract 4x from both sides.
-6x+1\leq 2
Combine -2x and -4x to get -6x.
-6x\leq 2-1
Subtract 1 from both sides.
-6x\leq 1
Subtract 1 from 2 to get 1.
x\geq -\frac{1}{6}
Divide both sides by -6. Since -6 is negative, the inequality direction is changed.
Examples
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{ x } ^ { 2 } - 4 x - 5 = 0
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4 \sin \theta \cos \theta = 2 \sin \theta
Linear equation
y = 3x + 4
Arithmetic
699 * 533
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}