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Popular >

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

Solution

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

Solution

- 3 < x < 2

+1

Interval Notation

(- 3, 2)

Solution steps

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

Rewrite in standard form

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

Factor

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

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

Divide both sides by

2

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

Simplify

\frac{x + 3}{x - 2} < 0

Identify the intervals

- 3 < x < 2

Popular Examples

\frac{x + 1}{x} > 3

((x+3))/3*4/((x+2))> x/3

\frac{( x + 3 )}{3} \cdot \frac{4}{( x + 2 )} > \frac{x}{3}

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

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

\frac{x}{( x + 1 )} > \frac{1}{x}

(6x(12+8))/5 >2x^2

\frac{6 x ( 12 + 8 )}{5} > 2 x^{2}

Frequently Asked Questions (FAQ)

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