Solve for z
z<5
Share
Copied to clipboard
-4z+28>2z-2
Use the distributive property to multiply -4 by z-7.
-4z+28-2z>-2
Subtract 2z from both sides.
-6z+28>-2
Combine -4z and -2z to get -6z.
-6z>-2-28
Subtract 28 from both sides.
-6z>-30
Subtract 28 from -2 to get -30.
z<\frac{-30}{-6}
Divide both sides by -6. Since -6 is negative, the inequality direction is changed.
z<5
Divide -30 by -6 to get 5.
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}