Question

(x - 1) (3 - x)(x - 2)2 > 0.
Solve the inequality.​

Answer 1

Answer:

2<x<3

Step-by-step explanation:

• (x-1)(3-x)(x-2) 2 > 0

So we can remove 2" from the given question and we will get,

• (x-1)(3-x)(x-2)>0

By taking each term (x-1), (3-x) and (x-2) separately we get,

• x>1 , x<3 , x>2

Now,

By combining each value of x into one, we get the value of x where it is defined, DOMAIN.

So,

If x is greater than 2 then it obviously will be greater than 1 and less than 3.

Hence,

• 2<x<3 ans.