Type a math problem

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Type a math problem

Solve for x

x<-4

$x<−4$

Solution Steps

1 - \frac { x } { 4 } > 2

$1−4x >2$

Multiply both sides of the equation by 4. Since 4 is >0, the inequality direction remains the same.

Multiply both sides of the equation by $4$. Since $4$ is $>0$, the inequality direction remains the same.

4-x>8

$4−x>8$

Subtract 4 from both sides.

Subtract $4$ from both sides.

-x>8-4

$−x>8−4$

Subtract 4 from 8 to get 4.

Subtract $4$ from $8$ to get $4$.

-x>4

$−x>4$

Divide both sides by -1. Since -1 is <0, the inequality direction is changed.

Divide both sides by $−1$. Since $−1$ is $<0$, the inequality direction is changed.

x<-4

$x<−4$

Graph

Graph Inequality

Graph Both Sides in 2D

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4-x>8

Multiply both sides of the equation by 4. Since 4 is >0, the inequality direction remains the same.

-x>8-4

Subtract 4 from both sides.

-x>4

Subtract 4 from 8 to get 4.

x<-4

Divide both sides by -1. Since -1 is <0, the inequality direction is changed.

Examples

Quadratic equation

{ x } ^ { 2 } - 4 x - 5 = 0

$x_{2}−4x−5=0$

Trigonometry

4 \sin \theta \cos \theta = 2 \sin \theta

$4sinθcosθ=2sinθ$

Linear equation

y = 3x + 4

$y=3x+4$

Arithmetic

699 * 533

$699∗533$

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]

$[25 34 ][2−1 01 35 ]$

Simultaneous equation

\left. \begin{cases} { 8x+2y = 46 } \\ { 7x+3y = 47 } \end{cases} \right.

${8x+2y=467x+3y=47 $

Differentiation

\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }

$dxd (x−5)(3x_{2}−2) $

Integration

\int _ { 0 } ^ { 1 } x e ^ { - x ^ { 2 } } d x

$∫_{0}xe_{−x_{2}}dx$

Limits

\lim _{x \rightarrow-3} \frac{x^{2}-9}{x^{2}+2 x-3}

$x→−3lim x_{2}+2x−3x_{2}−9 $

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