Solve for x
x\in \left(-\sqrt{3},\sqrt{3}\right)
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-3+x^{2}<0
Multiply the inequality by -1 to make the coefficient of the highest power in 3-x^{2} positive. Since -1 is negative, the inequality direction is changed.
x^{2}<3
Add 3 to both sides.
x^{2}<\left(\sqrt{3}\right)^{2}
Calculate the square root of 3 and get \sqrt{3}. Rewrite 3 as \left(\sqrt{3}\right)^{2}.
|x|<\sqrt{3}
Inequality holds for |x|<\sqrt{3}.
x\in \left(-\sqrt{3},\sqrt{3}\right)
Rewrite |x|<\sqrt{3} as x\in \left(-\sqrt{3},\sqrt{3}\right).
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.
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\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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