Question

How do you solve `(x-4)/(x+3)>0`?

Answer 1

`x< -3` or `x> 4`

Explanation:

The numerator is positive for `x >4` whereas the denominator is positive for `x > -3`. It comes that for `x< -3` both of them are negative so that the whole fraction is positive. The same happens for `x>4`. On the other hand for `-3 < x< 4` the fraction is negative. Consequently the fraction is poisitive
for `x< -3` and for `x>4`