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Popular >

(-4)/((2+5x))<0

Solution

\frac{- 4}{( 2 + 5 x )} < 0

Solution

x > - \frac{2}{5}

+2

Interval Notation

(- \frac{2}{5}, \infty)

Decimal Notation

x > - 0.4

Solution steps

\frac{- 4}{2 + 5 x} < 0

Rewrite in standard form

\frac{1}{2 + 5 x} > 0

If

\frac{1}{a} > 0

then

a > 0

2 + 5 x > 0

Move

2

to the right side

5 x > - 2

Divide both sides by

5

x > - \frac{2}{5}

Popular Examples

(x+5)(2x-3)^5(x-7)^3(3x+8)^2<0

(x + 5) (2 x - 3)^{5} (x - 7)^{3} (3 x + 8)^{2} < 0

6 x^{2} - 2 x + 3 > 0

((x^2-1))/((x+3))<= 0

\frac{( x ^{2} - 1 )}{( x + 3 )} \leq 0

\frac{4}{( x + 2 )} \geq 0

x^3+5x^2+4x>= 0

x^{3} + 5 x^{2} + 4 x \geq 0

Frequently Asked Questions (FAQ)

What is (-4)/((2+5x))<0 ?
The solution to (-4)/((2+5x))<0 is x>-2/5