Question

Solve x(x-1) (X-5) <=O​

Answer 1

Answer:

x <= 0 or  1 = < x <= 5.

Step-by-step 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.