Question

The absolute value of a number is always greater than its opposite. Is this true?

A) No; the absolute value of a negative number is equal to its opposite.
B) No; all negative numbers are greater than their opposites.

Answer 1

The absolute value of a positive number and its opposite is always equal. So the given statement is not true.

Absolute value represents the distance of a point from the origin. The distance of a positive number and its opposite will always be the same from the origin. Consider the following example:

The number is 5. The absolute value of 5 is | 5 | = 5

The opposite of 5 is -5. The absolute value of -5 is |-5| = 5

This shows the absolute value of a number and its opposite will always be equal. For any positive number x, we can write:

| x | = | -x | = x

So, the correct answer is:

A) No; the absolute value of a negative number is equal to its opposite.

Answer 2

I sugges you to go with this one: A) No; the absolute value of a negative number is equal to its opposite. As it's correct explanation.