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Popular >

1/(2x+3)<= 1/(x-2)

Solution

\frac{1}{2 x + 3} \leq \frac{1}{x - 2}

Solution

- 5 \leq x < - \frac{3}{2} or x > 2

+2

Interval Notation

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

Decimal Notation

- 5 \leq x < - 1.5 or x > 2

Solution steps

\frac{1}{2 x + 3} \leq \frac{1}{x - 2}

Rewrite in standard form

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

Identify the intervals

- 5 \leq x < - \frac{3}{2} or x > 2

Popular Examples

factor-42x^6y^5z^6+9x^3y^3z^4 factor

- 42 x^{6} y^{5} z^{6} + 9 x^{3} y^{3} z^{4}

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

x^{2} = 441

(3t)/8+(2t)/5 = t/4+21

\frac{3 t}{8} + \frac{2 t}{5} = \frac{t}{4} + 21

(3x+5)/(-2)<= 4x+2

\frac{3 x + 5}{- 2} \leq 4 x + 2

Frequently Asked Questions (FAQ)

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