Solve for a
a>12
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-2-4a>6-8\left(a-5\right)
To find the opposite of 2+4a, find the opposite of each term.
-2-4a>6-8a+40
Use the distributive property to multiply -8 by a-5.
-2-4a>46-8a
Add 6 and 40 to get 46.
-2-4a+8a>46
Add 8a to both sides.
-2+4a>46
Combine -4a and 8a to get 4a.
4a>46+2
Add 2 to both sides.
4a>48
Add 46 and 2 to get 48.
a>\frac{48}{4}
Divide both sides by 4. Since 4 is positive, the inequality direction remains the same.
a>12
Divide 48 by 4 to get 12.
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
\lim _{x \rightarrow-3} \frac{x^{2}-9}{x^{2}+2 x-3}