Question

Solve x(x-1) (X-5) <=O​

Answer 1

x <= 0 or 1 = < x <= 5.

Explanation:

First we find the critical points:

x(x - 1)(x - 5) = 0

gives x = 0, x = 1 and x = 5.

Construct a Table of values:

x < 0 x = 0 0< x < 1 1 =< x <= 5 x = 5

x <0 0 >0 <0 0

x - 1 <0 -1 >0 <0 0

x - 5 < 0 0 > 0 <0 0

x(x-1)(x-5) < 0 0 >0 <0 0

So the answers are x =< 0 or 1 =< x <= 5.