Solve for z
z<4
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-9z+54>5z-2
Use the distributive property to multiply -9 by z-6.
-9z+54-5z>-2
Subtract 5z from both sides.
-14z+54>-2
Combine -9z and -5z to get -14z.
-14z>-2-54
Subtract 54 from both sides.
-14z>-56
Subtract 54 from -2 to get -56.
z<\frac{-56}{-14}
Divide both sides by -14. Since -14 is negative, the inequality direction is changed.
z<4
Divide -56 by -14 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}