Solve for x
x\geq 6
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3x+9\leq 5x-3
Use the distributive property to multiply 3 by x+3.
3x+9-5x\leq -3
Subtract 5x from both sides.
-2x+9\leq -3
Combine 3x and -5x to get -2x.
-2x\leq -3-9
Subtract 9 from both sides.
-2x\leq -12
Subtract 9 from -3 to get -12.
x\geq \frac{-12}{-2}
Divide both sides by -2. Since -2 is negative, the inequality direction is changed.
x\geq 6
Divide -12 by -2 to get 6.
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
Arithmetic
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]
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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