Solve for x
x<-5
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\frac{1}{5}x+\frac{1}{5}\left(-5\right)+6<4
Use the distributive property to multiply \frac{1}{5} by x-5.
\frac{1}{5}x+\frac{-5}{5}+6<4
Multiply \frac{1}{5} and -5 to get \frac{-5}{5}.
\frac{1}{5}x-1+6<4
Divide -5 by 5 to get -1.
\frac{1}{5}x+5<4
Add -1 and 6 to get 5.
\frac{1}{5}x<4-5
Subtract 5 from both sides.
\frac{1}{5}x<-1
Subtract 5 from 4 to get -1.
x<-5
Multiply both sides by 5, the reciprocal of \frac{1}{5}. Since \frac{1}{5} is positive, the inequality direction remains the same.
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\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
Integration
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Limits
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