Solve for x
x\in \left(-5,5\right)
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2x^{2}-50<0
Multiply the inequality by -1 to make the coefficient of the highest power in -2x^{2}+50 positive. Since -1 is negative, the inequality direction is changed.
x^{2}<25
Add 25 to both sides.
x^{2}<5^{2}
Calculate the square root of 25 and get 5. Rewrite 25 as 5^{2}.
|x|<5
Inequality holds for |x|<5.
x\in \left(-5,5\right)
Rewrite |x|<5 as x\in \left(-5,5\right).
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.
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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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