Question

Complete the following definition.

The density property of irrational numbers states that given any two distinct irrational numbers, p < q, there exists a rational number r and an irrational number s such that _______.
A.
p < r < q and p < s < q
B.
q < p < r and p > s > q
C.
r < p < q and s < q < p
D.
q < r < p and q > s > p

Answer 1

A. p < r < q and p < s < q

Explanation:

Any pair of irrational numbers will have both a rational number and an irrational number between them. (Actually, this is true for any two distinct numbers of any kind.)