29.4k views
5 votes
If an absolute value expression is greater than a negative number, there is no solution. O True O False

User Zircon
by
5.9k points

1 Answer

3 votes

Absolute value inequalities are defined by the following properties:


\begin{gathered} |x|a\rightarrow x<-b,or,x>b \end{gathered}

Notice that when the absolute value expression is greater than real numbers, the solution is defined.

Therefore, the given statement is false because there's a solution in such a case.

User Timur Mingulov
by
5.9k points