Solve for x
x\leq -3
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1x-4\leq -9-\frac{2}{3}x
Divide 2 by 2 to get 1.
1x-4+\frac{2}{3}x\leq -9
Add \frac{2}{3}x to both sides.
\frac{5}{3}x-4\leq -9
Combine 1x and \frac{2}{3}x to get \frac{5}{3}x.
\frac{5}{3}x\leq -9+4
Add 4 to both sides.
\frac{5}{3}x\leq -5
Add -9 and 4 to get -5.
x\leq -5\times \frac{3}{5}
Multiply both sides by \frac{3}{5}, the reciprocal of \frac{5}{3}. Since \frac{5}{3} is positive, the inequality direction remains the same.
x\leq -3
Multiply -5 times \frac{3}{5}.
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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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
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