Solve for x
x\geq -3
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4-3x-12\leq 1
Use the distributive property to multiply -3 by x+4.
-8-3x\leq 1
Subtract 12 from 4 to get -8.
-3x\leq 1+8
Add 8 to both sides.
-3x\leq 9
Add 1 and 8 to get 9.
x\geq \frac{9}{-3}
Divide both sides by -3. Since -3 is negative, the inequality direction is changed.
x\geq -3
Divide 9 by -3 to get -3.
Examples
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Linear equation
y = 3x + 4
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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
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