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 unit rate of the equation: Y=25x
What is a "nationalist movement"? *
autos tiene tu hermano?
What is the absolute value of -3
if BD= BC ,BD=5x-26, BC=2x+1, and AC=43, find AB ?
Urgent The following picture is an example of which type of energy? Electromagnetic Energy Nuclear Energy Electric Energy
points A, B, C and D lie on a line segment in that order. If AB=CD=9. If the ratio of AB to BC is 1:3, what is the length of AD?
TRUE or FALSE: The charge of an atom (ion) is determined by the ratio of electrons to protons. TRUE FALSE
How do I answer this question?​
Which of the following is an equation of the line through (2, 3) and (−1, −12)? A. y = 15x + 135 B. y = −15x + 175 C. y = 5x − 7 D. y = −5x + 7