- [ 3 x + 4 ) > 2
Solve for x
x<-2
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-3x-4>2
To find the opposite of 3x+4, find the opposite of each term.
-3x>2+4
Add 4 to both sides.
-3x>6
Add 2 and 4 to get 6.
x<\frac{6}{-3}
Divide both sides by -3. Since -3 is negative, the inequality direction is changed.
x<-2
Divide 6 by -3 to get -2.
Examples
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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
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