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Popular >

2/(x+3)<=-4

Solution

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

Solution

- \frac{7}{2} \leq x < - 3

+2

Interval Notation

[- \frac{7}{2}, - 3)

Decimal Notation

- 3.5 \leq x < - 3

Solution steps

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

Rewrite in standard form

\frac{4 x + 14}{x + 3} \leq 0

Factor

\frac{4 x + 14}{x + 3} : \frac{2 ( 2 x + 7 )}{x + 3}

\frac{2 ( 2 x + 7 )}{x + 3} \leq 0

Divide both sides by

2

\frac{\frac{2 ( 2 x + 7 )}{x + 3}}{2} \leq \frac{0}{2}

Simplify

\frac{2 x + 7}{x + 3} \leq 0

Identify the intervals

- \frac{7}{2} \leq x < - 3

Popular Examples

factor 10y^2+13y+3 factor

10 y^{2} + 13 y + 3

5(x-4)+3x-9x=6-(2x+5)+8x

5 (x - 4) + 3 x - 9 x = 6 - (2 x + 5) + 8 x

4 z^{2} - 3 z - 2 = 0

4 x - 8 = 3 x - 8

∣ 5 x - 4 ∣ = 26

Frequently Asked Questions (FAQ)

What is 2/(x+3)<=-4 ?
The solution to 2/(x+3)<=-4 is -7/2 <= x<-3