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Popular >

| 5/(x+2)|>6

Solution

\frac{5}{x + 2} > 6

Solution

- \frac{17}{6} < x < - 2 or - 2 < x < - \frac{7}{6}

+2

Interval Notation

(- \frac{17}{6}, - 2) \cup (- 2, - \frac{7}{6})

Decimal Notation

- 2.83333 \dots < x < - 2 or - 2 < x < - 1.16666 \dots

Solution steps

\frac{5}{x + 2} > 6

Apply absolute rule: If

∣ u ∣ > a, a > 0

then

u < - a

or

u > a

\frac{5}{x + 2} < - 6 or \frac{5}{x + 2} > 6

\frac{5}{x + 2} < - 6 or \frac{5}{x + 2} > 6

- \frac{17}{6} < x < - 2 or - 2 < x < - \frac{7}{6}

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simplify-(15)/((5(-1)+2)^2)simplify

- \frac{15}{( 5 ( - 1 ) + 2 ) ^{2}}

Frequently Asked Questions (FAQ)

What is | 5/(x+2)|>6 ?
The solution to | 5/(x+2)|>6 is -17/6 <x<-2\lor-2<x<-7/6