Find out which of the following sentences are statements and which are not. Justify your answer.
Two non-empty sets have always a non-empty intersection.
Concept Used: A statement is an assertive (declarative) sentence if it is either true or false but not both.
So, This sentence is always false, because there are non-empty sets whose intersection is empty.
Hence, it is a statement.
AI is thinking…
Couldn't generate an explanation.
Generated by AI. May contain inaccuracies — always verify with your textbook.