Show that if r is an irrational number,there is a unique integer n such that the distance between r and n is?

Question

Show that if r is an irrational number,there is a unique integer n such that the distance between r and n is 1/2

Answer 1

Whenever the distance between an integer and a number "r" is 1/2, then "r" is rational, not irrational.



Integers are rational numbers. Any rational number plus or minus 1/2 is a rational number.

Answer 2

N = R plus or minus 1/2.



Use distance formula (however impractical it may seem)

Answer 3

Hehe. Symbolically, specific. i grow to be on right here for 7 years below yet another call. somebody have been given my account suspended. So I stayed off for approximately 6 months, made a sparkling account, and right here i'm. :)

Answer 4

Number is not that genious. Number is so much more perspicacious