Solve for x
x>-15
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2x-6<3x+9
Multiply both sides of the equation by 3. Since 3 is positive, the inequality direction remains the same.
2x-6-3x<9
Subtract 3x from both sides.
-x-6<9
Combine 2x and -3x to get -x.
-x<9+6
Add 6 to both sides.
-x<15
Add 9 and 6 to get 15.
x>-15
Divide both sides by -1. Since -1 is negative, the inequality direction is changed.
Examples
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Linear equation
y = 3x + 4
Arithmetic
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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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