crystalparra81 crystalparra81
  • 18-08-2017
  • Mathematics
contestada

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

Respuesta :

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
Answer Link

Otras preguntas

find the volume of a cube whose side length is 5x^2
what is 0.1 as a percentage?
The general nature of United States foreign policy since 1945 can best be described as
write a job advert to recruit a spy. what skills and experience would they need???
Identify three search combinations you could use to find information about natural disasters on the internet.
what is the scientific notation for .0982?
How far does the tip of a 14cm long minute hand on a clock move in 10 minutes?
Sue answered 80 percent of 150 test questions correctly. How many questions did she not answer correctly?
I WILL GIVE AWAY POINTS IF I GET THE CORRECT OR BEST ANSWER Which sentence uses a verb that agrees with its subject? A. People
a carton can hold 1,000 unit cubes that measure 1 inch by 1 inch by 1 inch. Describe the dimensions of the carton using unit cubes.