Solve for q
q<-4
Share
Copied to clipboard
3q+12<-2q-8
Use the distributive property to multiply 3 by q+4.
3q+12+2q<-8
Add 2q to both sides.
5q+12<-8
Combine 3q and 2q to get 5q.
5q<-8-12
Subtract 12 from both sides.
5q<-20
Subtract 12 from -8 to get -20.
q<\frac{-20}{5}
Divide both sides by 5. Since 5 is positive, the inequality direction remains the same.
q<-4
Divide -20 by 5 to get -4.
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}