What is 1/((x+4))<= (-1)/6 ?

The solution to 1/((x+4))<= (-1)/6 is -10<= x<-4

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1/((x+4))<= (-1)/6

\frac{1}{( x + 4 )} \leq \frac{- 1}{6}

- 10 \leq x < - 4

Interval Notation

[- 10, - 4)

Solution steps

\frac{1}{x + 4} \leq \frac{- 1}{6}

Rewrite in standard form

\frac{x + 10}{x + 4} \leq 0

Identify the intervals

- 10 \leq x < - 4

\frac{( ( x - 4 ) ( x - 3 ) )}{( x - 3 )} \leq 0

\frac{( 14 x )}{( x + 1 )} - \frac{( 9 x - 30 )}{( x - 4 )} < 0

\frac{1}{( 3 x - 2 )} \leq \frac{1}{( 3 x + 4 )}

n^{5} - n^{3} < 0

\frac{( ( x - 1 ) ^{2} \cdot ( x + 1 ) ^{3} )}{( x ^{4} \cdot ( x - 2 ) )} < 0