What is (13x-3)/(5x-2)<= 3 ?

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

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(13x-3)/(5x-2)<= 3

\frac{13 x - 3}{5 x - 2} \leq 3

x < \frac{2}{5} or x \geq \frac{3}{2}

Interval Notation

(- \infty, \frac{2}{5}) \cup [\frac{3}{2}, \infty)

Decimal Notation

x < 0.4 or x \geq 1.5

Solution steps

\frac{13 x - 3}{5 x - 2} \leq 3

Rewrite in standard form

\frac{- 2 x + 3}{5 x - 2} \leq 0

Identify the intervals

x < \frac{2}{5} or x \geq \frac{3}{2}

- 4 x < 16

15 x^{2} + 11 x + 2

x^{2} - 8 x + 7 = 0

- \frac{8}{3} < \frac{8 x + 3}{9} \leq \frac{1}{3}

x^{2} + 20 x + 64 = 0

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