Solve for y
y<2
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12+5y>13y+4-4y
Subtract 6 from 18 to get 12.
12+5y>9y+4
Combine 13y and -4y to get 9y.
12+5y-9y>4
Subtract 9y from both sides.
12-4y>4
Combine 5y and -9y to get -4y.
-4y>4-12
Subtract 12 from both sides.
-4y>-8
Subtract 12 from 4 to get -8.
y<\frac{-8}{-4}
Divide both sides by -4. Since -4 is negative, the inequality direction is changed.
y<2
Divide -8 by -4 to get 2.
Examples
Quadratic equation
{ x } ^ { 2 } - 4 x - 5 = 0
Trigonometry
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}