Question

the set {2×|x is any positive rational number is

Answer 1

SOLUTION

TO DETERMINE

The set

{ 2x | x is any positive rational number } is

CONCEPT TO BE IMPLEMENTED

SET

A set is a well defined collection of distinct objects of our perception or of our thought, to be conceived as a whole

Commonly we shall use capital letters A, B, C.... to denote sets and small letters a, b, c.... to denote objects ( or elements) of a set

FINITE SET

A said is said to be finite if it contains finite number of elements

INFINITE SET

A said is said to be infinite if it contains infinite number of elements

EVALUATION

Let S be the given set. Then

S = { 2x | x is any positive rational number }

Since the number of rational numbers are infinite

So the S is infinite

FINAL ANSWER

The set

{ 2x | x is any positive rational number } is

Infinite Set

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