Question

Insert <, >, or = between the given pair of numbers to make a true statement.

- |-11| - (-11)

Answer 1

- |-11| < - (-11)

Explanation:

Given the pair of numbers - |-11| and - (-11), we want to determine which is greater or whether they are equal

First lets rewrite both numbers.

- |-11| = -11 (note that the modulus sign will change any negative value into a positive value and that's why |-11| is equivalent to 11)

- (-11) = 11 (note that the negative sign here was retained since it is not an absolute value like the former)

It can be seen that both numbers are therefore not equal i.e - |-11| is less than - (-11). Hence the expression - |-11| < - (-11) is a true statement