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 ∣} \leq 2

x \leq \frac{7}{4} or x \geq \frac{13}{4}

Interval Notation

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

Decimal Notation

x \leq 1.75 or x \geq 3.25

Solution steps

\frac{3}{∣ 5 - 2 x ∣} \leq 2

Find positive and negative intervals

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

Solve the inequality for each interval

x \leq \frac{7}{4} or x \geq \frac{13}{4}

\frac{27}{125} x^{6} - 8 y^{9}

22 + 32

2 x + 1 > 7

- \frac{1}{2} + \frac{2}{5}

- 30 X = - 20 X + 15

What is 3/(|5-2x|)<= 2 ?
The solution to 3/(|5-2x|)<= 2 is x<= 7/4 \lor x>= 13/4