Solve for x
x<-\frac{11}{7}
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0-5\left(x+1\right)>2\left(x+3\right)
Anything times zero gives zero.
0-5x-5>2\left(x+3\right)
Use the distributive property to multiply -5 by x+1.
-5-5x>2\left(x+3\right)
Subtract 5 from 0 to get -5.
-5-5x>2x+6
Use the distributive property to multiply 2 by x+3.
-5-5x-2x>6
Subtract 2x from both sides.
-5-7x>6
Combine -5x and -2x to get -7x.
-7x>6+5
Add 5 to both sides.
-7x>11
Add 6 and 5 to get 11.
x<-\frac{11}{7}
Divide both sides by -7. Since -7 is negative, the inequality direction is changed.
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
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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.
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}