What is 3/(|5-2x|)<2 ?

The solution to 3/(|5-2x|) 13/4

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3/(|5-2x|)<2

\frac{3}{∣ 5 - 2 x ∣} < 2

x < \frac{7}{4} or x > \frac{13}{4}

Interval Notation

(- \infty, \frac{7}{4}) \cup (\frac{13}{4}, \infty)

Decimal Notation

x < 1.75 or x > 3.25

Solution steps

\frac{3}{∣ 5 - 2 x ∣} < 2

Find positive and negative intervals

x \leq \frac{5}{2}, x > \frac{5}{2}

Solve the inequality for each interval

x < \frac{7}{4} or x > \frac{13}{4}

\frac{x}{6} + 2 \geq - 16

8 + \frac{x}{- 4} = 5

x^{6} - 16 x^{2}

8 x^{3} - 800 x

23 x - 5 = 21 x + 5