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NTA Abhyas 2020
Exam
NTA Abhyas
Year
2020
Subject
Mathematics
Chapter
Mathematical Reasoning

NTA Abhyas 2020 · Mathematics · Mathematical Reasoning

If p : A man is happy and q : A man is rich are two statements,...

If pp: A man is happy and qq: 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∼ \text{p} \to ∼ \text{q}
  2. B∼ \text{q} \to \text{p}
  3. C∼ \text{q} \to ∼ \text{p}
  4. D\text{q} \to ∼ \text{p}

Correct answer

A. ∼p→∼q∼ \text{p} \to ∼ \text{q}

Step-by-step solution

Given, p:p: A man is happy&

and q:q: A man is rich.

'If man is not happy, then he is not rich' is written as ∼p→∼q∼ \text{p} \to ∼ \text{q}

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