What is 5/(|x+6|)>= 4 ?

The solution to 5/(|x+6|)>= 4 is -29/4 <= x<-6\lor-6<x<=-19/4

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5/(|x+6|)>= 4

\frac{5}{∣ x + 6 ∣} \geq 4

- \frac{29}{4} \leq x < - 6 or - 6 < x \leq - \frac{19}{4}

Interval Notation

[- \frac{29}{4}, - 6) \cup (- 6, - \frac{19}{4}]

Decimal Notation

- 7.25 \leq x < - 6 or - 6 < x \leq - 4.75

Solution steps

\frac{5}{∣ x + 6 ∣} \geq 4

Find positive and negative intervals

x < - 6, x \geq - 6

Solve the inequality for each interval

- \frac{29}{4} \leq x < - 6 or - 6 < x \leq - \frac{19}{4}

3 x + 6 < 21

5 (u + 2) + u = 3 (u - 1) + 1

- 9 x = 108

- 3 u^{2} - 17 u - 10

16 x^{3} + 250

What is 5/(|x+6|)>= 4 ?
The solution to 5/(|x+6|)>= 4 is -29/4 <= x<-6\lor-6<x<=-19/4