Is the proposition Q ∧ R true or false?
Understand the Problem
The question is asking whether the proposition 'Q ∧ R' is true or false based on the given statements. 'Q' states that a 12-year-old girl is older than her 16-year-old sister, which is false. 'R' states that a monkey is a mammal, which is true. Since 'Q' is false, the conjunction 'Q ∧ R' is also false.
Answer
False
The proposition Q ∧ R is false because Q is false, and for a conjunction (∧) to be true, both components must be true.
Answer for screen readers
The proposition Q ∧ R is false because Q is false, and for a conjunction (∧) to be true, both components must be true.
More Information
In logic, the conjunction operator (∧) requires both propositions to be true. Since Q is false, the overall conjunction is false.
Tips
Remember that for a conjunction to be true, all parts of the statement must be true.
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