Solve for x
x\leq 4
Graph
Share
Copied to clipboard
-x+7-x-\left(-1\right)\geq 0
To find the opposite of x-1, find the opposite of each term.
-x+7-x+1\geq 0
The opposite of -1 is 1.
-x+8-x\geq 0
Add 7 and 1 to get 8.
-x-x\geq -8
Subtract 8 from both sides. Anything subtracted from zero gives its negation.
-2x\geq -8
Combine -x and -x to get -2x.
x\leq \frac{-8}{-2}
Divide both sides by -2. Since -2 is negative, the inequality direction is changed.
x\leq 4
Divide -8 by -2 to get 4.
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}