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Popular >

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

Solution

(x - 1) (\frac{x}{2}) < 0

Solution

0 < x < 1

+1

Interval Notation

(0, 1)

Solution steps

(x - 1) \frac{x}{2} < 0

Rewrite in standard form

x^{2} - x < 0

Factor

x^{2} - x : x (x - 1)

x (x - 1) < 0

Identify the intervals

0 < x < 1

Popular Examples

((x^2-5x+6))/((x-1))>0

\frac{( x ^{2} - 5 x + 6 )}{( x - 1 )} > 0

(((x-3)^2))/(((x+5)(1-x)))>= 0

\frac{( ( x - 3 ) ^{2} )}{( ( x + 5 ) ( 1 - x ) )} \geq 0

\frac{3}{x - 2} > 4

(((x-1)(x-2)))/(((x+1)(x+2)))>0

\frac{( ( x - 1 ) ( x - 2 ) )}{( ( x + 1 ) ( x + 2 ) )} > 0

\frac{5}{( x - 2 )} > 0

Frequently Asked Questions (FAQ)

What is (x-1)(x/2)<0 ?
The solution to (x-1)(x/2)<0 is 0<x<1