Solve for u
u<-14
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-\frac{7}{2}\times 4>u
Multiply both sides by 4. Since 4 is positive, the inequality direction remains the same.
\frac{-7\times 4}{2}>u
Express -\frac{7}{2}\times 4 as a single fraction.
\frac{-28}{2}>u
Multiply -7 and 4 to get -28.
-14>u
Divide -28 by 2 to get -14.
u<-14
Swap sides so that all variable terms are on the left hand side. This changes the sign direction.
Examples
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{ 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
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