Question

solve the inequality x(x-1)(x+2)>0

Answer 1

do you know how to start?

Answer 2

you can do this by drawing a graph

Answer 3

yes..what i know is that x>0 , x>1 , x>-2 what's the domain???

Answer 4

it should be x<0

Answer 5

or by considering the value of the fundtion between critical points

these are the zeros of the function

0, 1 , -2

Answer 6

-2<x<0 or x>1

Answer 7

x is not equal to 0, 1 and -2. Its value lies in the intervals (2,0)U(1,infinity)

Answer 8

i get the (1,infinty) part...but i dont get why did we take (2,0)???

Answer 9

@akhilnkumar - i didn't say x was equal tp 0,1 or -2

Answer 10

Try puting the value as, say -1 or anything between 0 and -2

Answer 11

Sorry about my previous post the intervals are (-2,0)U(1,infinity)

Answer 12

yes - build a table and consider the values of function in the intervals
x < -2, -2=< x < 0, 0 =<x < 1 , x >= 1

Answer 13

heres the graph
http://www.wolframalpha.com/input/?i=x%28x%2B1%29%28x%2B2%29+%3D+0