P ⋀ (P→(Q→Q ))is equivalent to
P ⋀ (P→(Q→Q ))is equivalent to
Answer: A. P — The expression P ∧ (P → (Q → Q)) is evaluated step by step. Step 1: Q → Q is logically equivalent to ¬Q ∨ Q, which is always True. Step 2: P → (Q → Q) becomes…
- A.
P
- B.
False
- C.
True
- D.
Q
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Correct answer: A
The expression P ∧ (P → (Q → Q)) is evaluated step by step. Step 1: Q → Q is logically equivalent to ¬Q ∨ Q, which is always True. Step 2: P → (Q → Q) becomes P → True, which simplifies to ¬P ∨ True, which is always True. Step 3: P ∧ True simplifies to P. Thus, the entire expression is logically equivalent to P.
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