Question:

Can both be $\Rightarrow$?

$p \wedge q \Rightarrow r$

$p \vee (q \wedge r)$

$p \vee (q \vee r)$

$p \Rightarrow (q \Rightarrow r)$ and $p \Rightarrow (q \vee r)$

Step-by-Step Solution

Key Concept: Understand the relationship between implication and set theory through Venn diagrams; $(p \Rightarrow q) \equiv (\neg p \vee q)$.

Using Venn diagram representations, we examine which option correctly represents the logical relationship. Option (C) $p \Rightarrow (q \Rightarrow r)$ is shown to be equivalent to $(p \wedge q) \Rightarrow r$, which matches the region where $p$ and $q$ are true and $r$ must be true. This is the only correct representation among the options.

Correct Answer: 3

Question:

Step-by-Step Solution

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