Question

What are the two equations that need to be solved to find the solutions for the absolute value equation |x-5|=x-2

Answer 1

Answer:

x - 5 = x - 2   and

x - 5 = 2 - x.

Step-by-step explanation:

x - 5 may be positive or negative so we have:

x - 5 = x - 2  

and

x - 5 = - (x  - 2)

x - 5 = 2 - x.