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Popular >

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

Solution

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

Solution

- 3 < x \leq - 2

+1

Interval Notation

(- 3, - 2]

Solution steps

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

Rewrite in standard form

\frac{2 x + 4}{x + 3} \leq 0

Factor

\frac{2 x + 4}{x + 3} : \frac{2 ( x + 2 )}{x + 3}

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

Divide both sides by

2

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

Simplify

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

Identify the intervals

- 3 < x \leq - 2

Popular Examples

factor h^2+11h+18 factor

h^{2} + 11 h + 18

4 x^{2} + 12 x - 15 = 5

factor (x^3+2x^2)/(x^3-2x^2-3x)factor

\frac{x ^{3} + 2 x ^{2}}{x ^{3} - 2 x ^{2} - 3 x}

factor 27x^6-8y^6 factor

27 x^{6} - 8 y^{6}

factor 24x^2-2x-12 factor

24 x^{2} - 2 x - 12

Frequently Asked Questions (FAQ)

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