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Challenge - Density

Which one (s) of the following is FALSE?

I) All Naturals is dense.

II) The set of integers is dense.

III) The set of rational numbers is not dense.

A) Only I

B) Only II

C) Only III

D) Only I and II

E) I, II, III.

Answer:

A numerical set is dense, whether taking two elements of it, whatever, there are infinitely many elements of the partnership between the two elected. Thus, neither the natives nor the integers are dense, because if you take the numbers 2 and 3 (the same holds for the integers) there is none among them that is natural and full. I and II are false.

addition complex of the Rational is dense because between any pair of numbers

a / b and c / d there are infinitely many rational

one can be achieved by the formula:

{a / b + c / d} / 2, which gives the number of the medium, which is equidistant between a / b and c / d .... III) is false.

Three: I, II, III are false, alternative E)

Source: PSU - Santillana - Bicentennial

NEM: First Middle.

Main Topic: I. Numbers and Proportionality.

CMO: Numerical sets.