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NTA Abhyas JEE Main2020MathematicsMathematical ReasoningPractice

If p : A man is happy and q : A man is rich are two statements, then the statement, "If a man is not happy, then he is not rich" can be written using logical operators as

Options

  1. A∼ p → ∼ q
  2. B∼ q → p
  3. C∼ q → ∼ p
  4. Dq → ∼ p

Correct answer

A. ∼ p → ∼ q

Step-by-step solution

Given, p : A man is happy ​and q : A man is rich. 'If man is not happy, then he is not rich' is written as ∼ p →  ∼ q

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