Solve for a
a\leq -3
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a-4-3a\geq 2
Subtract 3a from both sides.
-2a-4\geq 2
Combine a and -3a to get -2a.
-2a\geq 2+4
Add 4 to both sides.
-2a\geq 6
Add 2 and 4 to get 6.
a\leq \frac{6}{-2}
Divide both sides by -2. Since -2 is negative, the inequality direction is changed.
a\leq -3
Divide 6 by -2 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
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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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