Question

Does the inequality |x + 1| < 0 has a solution?

Answer 1

No, it does not have a solution.

Explanation:

`|a|` is absolute value of `a` i.e. if `a` is positive than `|a|` is nothing but `a`. But if `a` is negative, `|a|` is the number itself without its negative sign i.e. only positive `a`. In other words if `a` is negative, `|a|=-a`.

Hence `|a|` is always positive and the lowest value can only be `0`. Hence, it is not possible to have absolute value of any number to be negative as absolute value is always greater than or equal to one and hence there is no solution for `|x+1|<0`.