Solve for a
a<2
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3-a-\left(-4\right)>3a-1
To find the opposite of a-4, find the opposite of each term.
3-a+4>3a-1
The opposite of -4 is 4.
7-a>3a-1
Add 3 and 4 to get 7.
7-a-3a>-1
Subtract 3a from both sides.
7-4a>-1
Combine -a and -3a to get -4a.
-4a>-1-7
Subtract 7 from both sides.
-4a>-8
Subtract 7 from -1 to get -8.
a<\frac{-8}{-4}
Divide both sides by -4. Since -4 is negative, the inequality direction is changed.
a<2
Divide -8 by -4 to get 2.
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
699 * 533
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}