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Popular >

8/(9x)+5<-3

Solution

\frac{8}{9 x} + 5 < - 3

Solution

- \frac{1}{9} < x < 0

+2

Interval Notation

(- \frac{1}{9}, 0)

Decimal Notation

- 0.11111 \dots < x < 0

Solution steps

\frac{8}{9 x} + 5 < - 3

Rewrite in standard form

\frac{8 + 72 x}{x} < 0

Factor

\frac{8 + 72 x}{x} : \frac{8 ( 9 x + 1 )}{x}

\frac{8 ( 9 x + 1 )}{x} < 0

Divide both sides by

8

\frac{\frac{8 ( 9 x + 1 )}{x}}{8} < \frac{0}{8}

Simplify

\frac{9 x + 1}{x} < 0

Identify the intervals

- \frac{1}{9} < x < 0

Popular Examples

factor x^3-3x^2-6x+8 factor

x^{3} - 3 x^{2} - 6 x + 8

factor bx+bz+6x+6z factor

b x + b z + 6 x + 6 z

x^{2} - 2 = x

x - 6 \geq 0

3 b + 6 = 45

Frequently Asked Questions (FAQ)

What is 8/(9x)+5<-3 ?
The solution to 8/(9x)+5<-3 is -1/9 <x<0