Q7 / 69 · NTA Abhyas (JEE Main) 2020 · Mathematics · Mathematical Reasoning

If p and q are two logical statements, then ~p∨q→p→q is equivalent to

  • A
    p∧q
  • Correct answer
    B
    p→p∨q
  • C
    p∨q
  • D
    p∨q↔p∧q

Solution

∵S→t≡~S∨t
∴~p∨q→p→q≡p∨q∨p→q
≡p∨q∨~p∨q
≡p∨~p∨q
≡t∨q≡t
Also, p→p∨q≡~p∨p∨q≡t

Hence, the correct answer is option: 'B'.

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