Solve for x
x\geq 0
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1-2x-4\leq 3\left(x-1\right)
Use the distributive property to multiply -2 by x+2.
-3-2x\leq 3\left(x-1\right)
Subtract 4 from 1 to get -3.
-3-2x\leq 3x-3
Use the distributive property to multiply 3 by x-1.
-3-2x-3x\leq -3
Subtract 3x from both sides.
-3-5x\leq -3
Combine -2x and -3x to get -5x.
-5x\leq -3+3
Add 3 to both sides.
-5x\leq 0
Add -3 and 3 to get 0.
x\geq 0
Product of two numbers is ≤0 if one is ≥0 and the other is ≤0. Since -5\leq 0, x must be ≥0.
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}