Every square is a rectangle.
Every rhombus is a kite.
The truth values of p → q and p ↔ q are _____ and _____ respectively.
Approved Tutor Answer10 Months agoTo determine the truth values of the statements, let's define the propositions:
Now, we analyze the implications:
The statement "p → q" means "If p is true, then q is true." Since every square is indeed a rectangle (p is true), but not every rhombus is a kite (q is false), the implication is false. Therefore, the truth value of p → q is F.
The statement "p ↔ q" means "p is true if and only if q is true." Since p is true and q is false, this statement is also false. Thus, the truth value of p ↔ q is F.
In summary, the truth values are: F for p → q and F for p ↔ q. The correct answer is A. F, F.
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