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A positive rational number.
Irrationals.
No.
Within a given range, the set of rational numbers is greater. Without a given range, both sets are infinite and a comparison is not very helpful.
There are infinitely many rational numbers between any two rational numbers. And the cardinality of irrational numbers between any two rational numbers is even greater.
A positive rational number.
Any positive rational number.
Irrationals.
No.
Within a given range, the set of rational numbers is greater. Without a given range, both sets are infinite and a comparison is not very helpful.
Because 1. Positive integers are greater than negative integers, and 2. Division by a positive number preserves the order.
1.5
There are infinitely many rational numbers between any two rational numbers. And the cardinality of irrational numbers between any two rational numbers is even greater.
greatest
No, the set of irrational numbers has a cardinality that is greater than that for rational numbers. In other words, the number of irrational numbers is of a greater order of infinity than rational numbers.
No. There are infinitely many of both but the number of irrational numbers is an order of infinity greater than that for rational numbers.
It is because of the way in which positive and negative numbers are defined.