Solve for x
x\leq -1
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-4x+10\geq 11x+5\left(2x+7\right)
Use the distributive property to multiply -2 by 2x-5.
-4x+10\geq 11x+10x+35
Use the distributive property to multiply 5 by 2x+7.
-4x+10\geq 21x+35
Combine 11x and 10x to get 21x.
-4x+10-21x\geq 35
Subtract 21x from both sides.
-25x+10\geq 35
Combine -4x and -21x to get -25x.
-25x\geq 35-10
Subtract 10 from both sides.
-25x\geq 25
Subtract 10 from 35 to get 25.
x\leq \frac{25}{-25}
Divide both sides by -25. Since -25 is negative, the inequality direction is changed.
x\leq -1
Divide 25 by -25 to get -1.
Examples
Quadratic equation
{ x } ^ { 2 } - 4 x - 5 = 0
Trigonometry
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}