Let the two numbers are , and the absolute value of these numbers are
.
The word the difference of the absolute value of two numbers
the difference of two numbers themselves
represent the equation
.
The above statement is not true, the counter example of two numbers are and the absolute value of these numbers are
.
The difference of two numbers is
.
The difference of the absolute value of two numbers is
.
From the statement, . This is false statement.
The statement is false.