Solve for f
f\leq -2
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973+4f\leq 965
The opposite of -4f is 4f.
4f\leq 965-973
Subtract 973 from both sides.
4f\leq -8
Subtract 973 from 965 to get -8.
f\leq \frac{-8}{4}
Divide both sides by 4. Since 4 is positive, the inequality direction remains the same.
f\leq -2
Divide -8 by 4 to get -2.
Examples
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{ x } ^ { 2 } - 4 x - 5 = 0
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4 \sin \theta \cos \theta = 2 \sin \theta
Linear equation
y = 3x + 4
Arithmetic
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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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