What is 3/(|2x-5|)>=-4 ?

The solution to 3/(|2x-5|)>=-4 is x 5/2

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3/(|2x-5|)>=-4

\frac{3}{∣ 2 x - 5 ∣} \geq - 4

x < \frac{5}{2} or x > \frac{5}{2}

Interval Notation

(- \infty, \frac{5}{2}) \cup (\frac{5}{2}, \infty)

Decimal Notation

x < 2.5 or x > 2.5

Solution steps

\frac{3}{∣ 2 x - 5 ∣} \geq - 4

Find positive and negative intervals

x < \frac{5}{2}, x \geq \frac{5}{2}

Solve the inequality for each interval

x < \frac{5}{2} or x > \frac{5}{2}

5 x^{2} - x + 8 = 0

0.0 5^{2}

\frac{3}{4} + \frac{9}{8}

\frac{- x + 5}{x - 9} \geq 0

(\frac{8}{9})^{2}