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

$| a |$ 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 $| x + 1 | < 0$.