Solve for x
x\leq 2
Graph
Share
Copied to clipboard
2x+1\geq 5x-5
Use the distributive property to multiply 5 by x-1.
2x+1-5x\geq -5
Subtract 5x from both sides.
-3x+1\geq -5
Combine 2x and -5x to get -3x.
-3x\geq -5-1
Subtract 1 from both sides.
-3x\geq -6
Subtract 1 from -5 to get -6.
x\leq \frac{-6}{-3}
Divide both sides by -3. Since -3 is negative, the inequality direction is changed.
x\leq 2
Divide -6 by -3 to get 2.
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}