Question

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.

12 Mar 2024
Answer :
Word Count : 247

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."
   - This is a proposition because it makes a definite claim about the number of questions in the _______ ___ ____ _________ _____ _____ ______ _________ ____ _________.
________ ________ ____ _________ ________ _____ ___ ________ ____.
___ ___ _________ ___ ______ _____ ___ ___ _____ _______.
________ _________ _______ ________ ___ __________ __________ _______ ____.
__________ _______ _______ _______ __________ _____ __________ _________ _________ ________ ___ ___.
______ _____ ___ ___ _________ ____ ____ ______ ____ ________ ______ ________.
_________ _____ ___ _________ ___ _________ ___ ____ ____.
_______ __________ ____ ________ _________ _______ ______ _______ _____.
__________ __________ ____ _________ _______ ________ _______ _______.
_______ _______ _________ ____ ________.
___ _____ ____ _________ __________ _______ _________.
__________ _____ __________ __________ _____ _______ __________.
____ ___ __________ ________ _________ ______ ___.
_______ ___ ___ _______ _______ ____.
____ ________ ______ _______ __________ ________ ________ __________ _____ __________ ____.
__________ __________ ________ _______ ______ _______ ________.
_________ ____ ______ ____ ____ ____ __________ ________ ________ ___ ______.
__________ ___ ____ ____ _______ _____ __________ __________ ___ ____ ______.
_________ ____ _______ ____ _________ _________.
_________ ___ ___ _______ _________ ___ ____.
____ _______ __________ __________ ___ ____ ___ ____ _______ ______ __________ ________.
__________ ____ _____ ______ ______ _________.
__________ ___ __________ _________ ________ _________ _____.
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