What is 1/(|x+5|)>= 5 ?

The solution to 1/(|x+5|)>= 5 is -26/5 <= x<-5\lor-5<x<=-24/5

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1/(|x+5|)>= 5

\frac{1}{∣ x + 5 ∣} \geq 5

- \frac{26}{5} \leq x < - 5 or - 5 < x \leq - \frac{24}{5}

Interval Notation

[- \frac{26}{5}, - 5) \cup (- 5, - \frac{24}{5}]

Decimal Notation

- 5.2 \leq x < - 5 or - 5 < x \leq - 4.8

Solution steps

\frac{1}{∣ x + 5 ∣} \geq 5

Find positive and negative intervals

x < - 5, x \geq - 5

Solve the inequality for each interval

- \frac{26}{5} \leq x < - 5 or - 5 < x \leq - \frac{24}{5}

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What is 1/(|x+5|)>= 5 ?
The solution to 1/(|x+5|)>= 5 is -26/5 <= x<-5\lor-5<x<=-24/5