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

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

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Answer 1 · 2016-06-02T17:51:11

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 $|x+1|<0$ .

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

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Explanation:

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