How do you solve the absolute value inequalities #abs(x+4)<0#?

1 Answer
Alan P.
Apr 24, 2015

By solve the inequality, I assume you mean solve for #x#. In general you can only solve an equation or inequality for "something",

For the given inequality: #abs(x+4)<0#
Note that
#abs("anything")>=0#
(it's basic to the definition of absolute value)

Therefore there is no value of #x# for which this inequality is true.

In set notation
#x = phi " (the null set) "#

Related questions
See all questions in Absolute Value Inequalities
Impact of this question
1678 views around the world
You can reuse this answer
Creative Commons License