What is 4/(|x+1|)>9 ?

The solution to 4/(|x+1|)>9 is -13/9 <x<-1\lor-1<x<-5/9

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4/(|x+1|)>9

\frac{4}{∣ x + 1 ∣} > 9

- \frac{13}{9} < x < - 1 or - 1 < x < - \frac{5}{9}

Interval Notation

(- \frac{13}{9}, - 1) \cup (- 1, - \frac{5}{9})

Decimal Notation

- 1.44444 \dots < x < - 1 or - 1 < x < - 0.55555 \dots

Solution steps

\frac{4}{∣ x + 1 ∣} > 9

Find positive and negative intervals

x < - 1, x \geq - 1

Solve the inequality for each interval

- \frac{13}{9} < x < - 1 or - 1 < x < - \frac{5}{9}

- 248

\frac{1}{1 - 0.9}

(2 n^{2})^{3}

2 (z + i) = 3 i (z - 1)

∣ 3 t + 5 ∣ = - 2