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

The solution to (2x-3)/(5x+2)>=-2 is x =-1/12

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

\frac{2 x - 3}{5 x + 2} \geq - 2

x < - \frac{2}{5} or x \geq - \frac{1}{12}

Interval Notation

(- \infty, - \frac{2}{5}) \cup [- \frac{1}{12}, \infty)

Decimal Notation

x < - 0.4 or x \geq - 0.08333 \dots

Solution steps

\frac{2 x - 3}{5 x + 2} \geq - 2

Rewrite in standard form

\frac{12 x + 1}{5 x + 2} \geq 0

Identify the intervals

x < - \frac{2}{5} or x \geq - \frac{1}{12}

6 x^{2} - 6 = 12

x^{2} + 5 x - 11 = 0

k^{2}

(s^{- 5})^{3}

- 6 x^{2} - 26 x - 8

What is (2x-3)/(5x+2)>=-2 ?
The solution to (2x-3)/(5x+2)>=-2 is x<-2/5 \lor x>=-1/12