Solve for m
m\leq 3
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-3m-5\geq \frac{-28}{2}
Divide both sides by 2. Since 2 is positive, the inequality direction remains the same.
-3m-5\geq -14
Divide -28 by 2 to get -14.
-3m\geq -14+5
Add 5 to both sides.
-3m\geq -9
Add -14 and 5 to get -9.
m\leq \frac{-9}{-3}
Divide both sides by -3. Since -3 is negative, the inequality direction is changed.
m\leq 3
Divide -9 by -3 to get 3.
Examples
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{ x } ^ { 2 } - 4 x - 5 = 0
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4 \sin \theta \cos \theta = 2 \sin \theta
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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