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Popular >

(x+2)/(3+2x)<= 5

Solution

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

Solution

x < - \frac{3}{2} or x \geq - \frac{13}{9}

+2

Interval Notation

(- \infty, - \frac{3}{2}) \cup [- \frac{13}{9}, \infty)

Decimal Notation

x < - 1.5 or x \geq - 1.44444 \dots

Solution steps

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

Rewrite in standard form

\frac{- 9 x - 13}{3 + 2 x} \leq 0

Identify the intervals

x < - \frac{3}{2} or x \geq - \frac{13}{9}

Popular Examples

2 x^{2} - 3 x - 5 > 0

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lo g_{4} (60) - lo g_{4} (4) + lo g_{4} (x)

| 3/2 x-4/3 |>1

\frac{3}{2} x - \frac{4}{3} > 1

- 3 x + 4 \leq 4 x - 10

x^{2} + \frac{6}{7} x - 55 = 0

Frequently Asked Questions (FAQ)

What is (x+2)/(3+2x)<= 5 ?
The solution to (x+2)/(3+2x)<= 5 is x<-3/2 \lor x>=-13/9