Type a math problem

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Type a math problem

Solve for x

x>-8

$x>−8$

Solution Steps

7 ( 4 x - 1 ) + 6 x > - 279

$7(4x−1)+6x>−279$

Use the distributive property to multiply 7 by 4x-1.

Use the distributive property to multiply $7$ by $4x−1$.

28x-7+6x>-279

$28x−7+6x>−279$

Combine 28x and 6x to get 34x.

Combine $28x$ and $6x$ to get $34x$.

34x-7>-279

$34x−7>−279$

Add 7 to both sides.

Add $7$ to both sides.

34x>-279+7

$34x>−279+7$

Add -279 and 7 to get -272.

Add $−279$ and $7$ to get $−272$.

34x>-272

$34x>−272$

Divide both sides by 34. Since 34 is >0, the inequality direction remains the same.

Divide both sides by $34$. Since $34$ is $>0$, the inequality direction remains the same.

x>\frac{-272}{34}

$x>34−272 $

Divide -272 by 34 to get -8.

Divide $−272$ by $34$ to get $−8$.

x>-8

$x>−8$

Graph

Graph Inequality

Graph Both Sides in 2D

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28x-7+6x>-279

Use the distributive property to multiply 7 by 4x-1.

34x-7>-279

Combine 28x and 6x to get 34x.

34x>-279+7

Add 7 to both sides.

34x>-272

Add -279 and 7 to get -272.

x>\frac{-272}{34}

Divide both sides by 34. Since 34 is >0, the inequality direction remains the same.

x>-8

Divide -272 by 34 to get -8.

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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