Question

Find all values of x for which (x³(x - 1)/(x - 2)) > 0

Answer 1

(x³(x - 1)/(x - 2)) > 0

Now we have to find the signs of 

x³, x – 1 and x – 2 as follows 

x³ = 0; x – 1 = 0 ⇒ x = 1; x – 2 = 0 ⇒ x = 2 

Plotting the points in a number line and finding intervals

So the solution set = (0, 1) ∪ (2, ∞)