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Popular >

((3x+2))/((x-4))<1

Solution

\frac{( 3 x + 2 )}{( x - 4 )} < 1

Solution

- 3 < x < 4

+1

Solution steps

\frac{3 x + 2}{x - 4} < 1

Rewrite in standard form

\frac{2 x + 6}{x - 4} < 0

Factor

\frac{2 x + 6}{x - 4} : \frac{2 ( x + 3 )}{x - 4}

\frac{2 ( x + 3 )}{x - 4} < 0

Divide both sides by

2

\frac{\frac{2 ( x + 3 )}{x - 4}}{2} < \frac{0}{2}

Simplify

\frac{x + 3}{x - 4} < 0

Identify the intervals

- 3 < x < 4

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\frac{8 x + 5}{- 2} = 3 - 4 x

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Frequently Asked Questions (FAQ)

What is ((3x+2))/((x-4))<1 ?
The solution to ((3x+2))/((x-4))<1 is -3<x<4