# Prove the absolute value equation |a-5| = |5-a|

Published on October 27, 2024

The equation |a - 5| = |5 - a| is proven by considering two cases: when (a - 5) is greater than or equal to zero and when (a - 5) is less than zero. In both cases, the equation holds true, demonstrating that the absolute value of the difference between a and 5 is equal to the absolute value of the difference between 5 and a for all values of a.

## Question

prove |a-5|=|5-a|