The absolute value of a number is the number without any signal, that is, the positive number.
For example, the absolute value of 5 is 5, and the absolute value of -5 is also 5.
So, in order to find a negative number with an absolute value greater than 5, we need to choose the number not considering its signal.
For example, 6 is greater than 5, so we can choose the number -6.
The absolute value of -6 is 6, which is greater than 5:
Therefore one correct answer is -6.