# How do you solve the inequality #(x-1)(x+4)(x-3)>0#?

##### 1 Answer

#### Explanation:

There can be three situations for the inequality to hold good:

I.All terms are positive that means

II

III

IV

Analyzing the above options, it would be clear that II is not possible, because x cannot be greater than 1 and less than -4 at the same time.

Like wise IV is also not possible because x can not be greater than -3 and less than -4 at the same time

Hence I and III are the only solutions for the Inequality.