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Popular >

(3x)/(x-8)<1

Solution

\frac{3 x}{x - 8} < 1

Solution

- 4 < x < 8

+1

Interval Notation

(- 4, 8)

Solution steps

\frac{3 x}{x - 8} < 1

Rewrite in standard form

\frac{2 x + 8}{x - 8} < 0

Factor

\frac{2 x + 8}{x - 8} : \frac{2 ( x + 4 )}{x - 8}

\frac{2 ( x + 4 )}{x - 8} < 0

Divide both sides by

2

\frac{\frac{2 ( x + 4 )}{x - 8}}{2} < \frac{0}{2}

Simplify

\frac{x + 4}{x - 8} < 0

Identify the intervals

- 4 < x < 8

Popular Examples

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40 y^{5} + 5 y^{2}

simplify 1/(2-sqrt(3)) 1/(2+sqrt(3))simplify

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

- 8 n < 120

simplify 32-32/3 simplify

32 - \frac{32}{3}

∣ x - 2 ∣ < 6

Frequently Asked Questions (FAQ)

What is (3x)/(x-8)<1 ?
The solution to (3x)/(x-8)<1 is -4<x<8