Question

How do you solve `(x-6)(x+10)<0`?

Answer 1

Solution is `-10 < x < 6`.

Explanation:

As `(x-6)(x+10)<0`, `(x-6)(x+10)` is negative.

Hence,

either `(x-6)<0` and `(x+10)>0` i.e.`x<6` and `x> -10`

which is true only if `-10 < x < 6`

or `(x-6)>0` and `(x+10)<0` i.e.`x>6` and `x< -10`, which cannot be true

Hence solution is `-10 < x < 6`.