Question

Solve the inequality x^2-x<0 show all working

Answer 1

taking x common
x.(x-1)<0
the roots of this equation are 0 and 1.
for x<0 ,this expresion will be positive.
for 0<x<1 , this expression is negative.
for x>1 , this expression is positive.

therefore from the above results it is concluded that values of x taken for the above expression should lie between 0 and 1(0<x<1)