crystalparra81 crystalparra81
  • 18-08-2017
  • Mathematics
contestada

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

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apologiabiology
apologiabiology apologiabiology
  • 18-08-2017
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
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