Solve for x
x\geq -2
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-15x-5+7\leq -x+30
Use the distributive property to multiply 5 by -3x-1.
-15x+2\leq -x+30
Add -5 and 7 to get 2.
-15x+2+x\leq 30
Add x to both sides.
-14x+2\leq 30
Combine -15x and x to get -14x.
-14x\leq 30-2
Subtract 2 from both sides.
-14x\leq 28
Subtract 2 from 30 to get 28.
x\geq \frac{28}{-14}
Divide both sides by -14. Since -14 is negative, the inequality direction is changed.
x\geq -2
Divide 28 by -14 to get -2.
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}