Solve for x
x\geq 3
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3x-21\geq -3x-3
Multiply both sides of the equation by -3. Since -3 is negative, the inequality direction is changed.
3x-21+3x\geq -3
Add 3x to both sides.
6x-21\geq -3
Combine 3x and 3x to get 6x.
6x\geq -3+21
Add 21 to both sides.
6x\geq 18
Add -3 and 21 to get 18.
x\geq \frac{18}{6}
Divide both sides by 6. Since 6 is positive, the inequality direction remains the same.
x\geq 3
Divide 18 by 6 to get 3.
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
\lim _{x \rightarrow-3} \frac{x^{2}-9}{x^{2}+2 x-3}