Is |a-b|+|a|-|b| true for all real numbers? explain

Find a counter example?

hmm

|a-b| finds the distance between a and b,

|a|-|b| finds the distance between a and b, such that |a|>|b|

ah ha

so we just need to find a and b such that b>a

b=10

a=5

|a-b|=|5-10|=|-5|=5

|a|-|b|=|5|-|10|=5-10=-5

5≠-5

tada

it is not true for all real numbers

if for all numers such that b>a, it is false