Is the proposition Q ∨ R true, given that Q is false and R is true?
Understand the Problem
The question is asking whether the proposition Q ∨ R is true given that Q states a false statement, while R is true. We need to determine the truth value of the disjunction (logical OR) of Q and R.
Answer
True
The final answer is True.
Answer for screen readers
The final answer is True.
More Information
In logic, a disjunction (or statement) is true if at least one of its components is true. Since R is true, the proposition Q ∨ R is true.
Tips
A common mistake is thinking both propositions need to be true for a disjunction to be true.
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