Solve for x
x\geq \frac{1}{4}
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1+x+3x\geq 2
Add 3x to both sides.
1+4x\geq 2
Combine x and 3x to get 4x.
4x\geq 2-1
Subtract 1 from both sides.
4x\geq 1
Subtract 1 from 2 to get 1.
x\geq \frac{1}{4}
Divide both sides by 4. Since 4 is positive, the inequality direction remains the same.
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
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Matrix
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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}