Find out which of the following are propositions and which are not. Give reasons for your answers.
(i) There are a total of 8 questions in this assignment.
(ii) Wow, it’s a beautiful evening!
(iii) I am not sure whether I can run as fast as you can.
(iv) The set {2, −1, 2, −1, 2, −1, … } is unbounded.
(v) The set ℕ of natural numbers is equivalent to the set ℤ of integers.
(vi) Rajasthan is the largest state in area among the Indian states and union territories.
A proposition is a statement that is either true or false, but not both. Let's analyze each statement:
(i) "There are a total of 8 questions in this assignment."
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