Which of these sentence(s) is/are propositions?(I) Accra is the capital of Ghana.(II) Ghana is a West African country.(III) 2 + 3 = 5.(IV) 5 + 7 = 10.
Question
Which of these sentence(s) is/are propositions?
- (I) Accra is the capital of Ghana.
- (II) Ghana is a West African country.
- (III) 2 + 3 = 5.
- (IV) 5 + 7 = 10.
Solution
A proposition is a statement that is either true or false. So, let's analyze each sentence:
(I) Accra is the capital of Ghana. - This is a proposition. It's a statement that is true.
(II) Ghana is a West African country. - This is also a proposition. It's a statement that is true.
(III) 2 + 3 = 5. - This is a proposition as well. It's a statement that is true.
(IV) 5 + 7 = 10. - This is a proposition, but it's a statement that is false.
So, all of these sentences are propositions.
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