What is 2/(|2x+3|)>= 5 ?

The solution to 2/(|2x+3|)>= 5 is -17/10 <= x<-3/2 \lor-3/2 <x<=-13/10

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2/(|2x+3|)>= 5

\frac{2}{∣ 2 x + 3 ∣} \geq 5

- \frac{17}{10} \leq x < - \frac{3}{2} or - \frac{3}{2} < x \leq - \frac{13}{10}

Interval Notation

[- \frac{17}{10}, - \frac{3}{2}) \cup (- \frac{3}{2}, - \frac{13}{10}]

Decimal Notation

- 1.7 \leq x < - 1.5 or - 1.5 < x \leq - 1.3

Solution steps

\frac{2}{∣ 2 x + 3 ∣} \geq 5

Find positive and negative intervals

x < - \frac{3}{2}, x \geq - \frac{3}{2}

Solve the inequality for each interval

- \frac{17}{10} \leq x < - \frac{3}{2} or - \frac{3}{2} < x \leq - \frac{13}{10}

\frac{x - 3}{x + 6} \leq 0

\frac{x}{2} + 21 = \frac{4 x}{3} + 24

x^{2} - 2 x - 20 \geq 0

- 3 (3 x + 5) \geq - 5 (2 x - 2)

5 z^{2} - 17 z + 14

What is 2/(|2x+3|)>= 5 ?
The solution to 2/(|2x+3|)>= 5 is -17/10 <= x<-3/2 \lor-3/2 <x<=-13/10