Question

If an absolute value expression is greater than a negative number, there is no solution. O True O False

Answer 1

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.