Question Detail

MTH 101 MTH 101 Past Questions Objective Question

Question

Define: R = real numbers, Q = rational numbers, V = {English vowels}, P = {prime numbers less than 20}. Which of the sets have the same cardinality?
Options
A R and Q
B R and V
C V and P
D Q, V, and P
Correct Answer

Option E is the correct answer.

Detailed Explanation

R is uncountably infinite, Q is countably infinite, V has 5 elements, and P has 8 elements. No two sets have the same cardinality.

Hint

Distinguish between countable, uncountable, and finite sets.

Question Info