Example

Comparing −(−15)-(-15) and −∣−15∣-|-15|

To accurately compare the expressions −(−15)-(-15) and −∣−15∣-|-15|, evaluate each mathematical notation separately. The expression on the left, −(−15)-(-15), dictates taking the opposite of the negative integer −15-15, which simplifies directly to the positive integer 1515. On the right side, evaluate the absolute value ∣−15∣|-15| first to get 1515, then apply the external negative sign to obtain −15-15. Comparing the two simplified integers reveals that the positive value 1515 is significantly greater than the negative value −15-15 (15>−1515 > -15). Consequently, the final established relationship is −(−15)>−∣−15∣-(-15) > -|-15|.

0

1

Updated 2026-06-03

Contributors are:

Who are from:

Tags

OpenStax

Intermediate Algebra @ OpenStax

Ch.2 Solving Linear Equations - Intermediate Algebra @ OpenStax

Algebra

Related
Learn After