What is 1/x+1/(x+1)< 2/(x+6) ?

The solution to 1/x+1/(x+1)< 2/(x+6) is -6<x<-1\lor-6/11 <x<0

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1/x+1/(x+1)< 2/(x+6)

\frac{1}{x} + \frac{1}{x + 1} < \frac{2}{x + 6}

- 6 < x < - 1 or - \frac{6}{11} < x < 0

Interval Notation

(- 6, - 1) \cup (- \frac{6}{11}, 0)

Decimal Notation

- 6 < x < - 1 or - 0.54545 \dots < x < 0

Solution steps

\frac{1}{x} + \frac{1}{x + 1} < \frac{2}{x + 6}

Rewrite in standard form

\frac{11 x + 6}{x ( x + 1 ) ( x + 6 )} < 0

Identify the intervals

- 6 < x < - 1 or - \frac{6}{11} < x < 0

x^{4} - 9 x^{2} + 18

9.2 r + 5.514 = 158.234

- \frac{3}{2} x < 6 - (2 x - 5)

C = \frac{5}{9} (- 13 - 32)

x - 1.5 \geq 5.5

What is 1/x+1/(x+1)< 2/(x+6) ?
The solution to 1/x+1/(x+1)< 2/(x+6) is -6<x<-1\lor-6/11 <x<0