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ExamsJEE MainMaths

The statement p → (q → p) is equivalent to

  1. p → (p → q)
  2. p → (p ∨ q)
  3. p → (p ∧ q)
  4. p → (p ↔ q)

Correct answer: p → (p ∨ q)

Solution

The statement p → (q → p) asserts that if p is true, then regardless of the truth value of q, p remains true. This is logically equivalent to saying that if p is true, then either p is true or q is true, which is represented by p → (p ∨ q).

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