The dual of the statement (p ˅ q) ˄ (r ˅ s) is ______. - Mathematics and Statistics

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MCQ
Fill in the Blanks

The dual of the statement (p ˅ q) ˄ (r ˅ s) is ______.

Options

  • (p ˄ q) ˄ (r ˄ s)

  • (p ˄ q) ˅ (r ˄ s)

  • (p ˅ q) ˅ (r ˅ s)

  • (p ˅ q) ˄ (r ˅ s)

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Solution

The dual of the statement (p ˅ q) ˄ ( r ˅ s) is (p ˄ q) ˅ (r ˄ s).

Explanation:

The dual of a proposition that contains only the logical operators ∨, ∧ can be obtained by replacing each ∨ by ∧ and each ∧ by ∨.

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Chapter 1.1: Mathematical Logic - Q.1

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