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If p ∧ q is false and p ∨ q is true, then ______ is not true. - Mathematics and Statistics

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प्रश्न

If p ∧ q is false and p ∨ q is true, then ______ is not true.

पर्याय

  • p ∨ q

  • p ↔ q

  • ∼p ∨ ∼q

  • q ∨ ∼p

MCQ
रिकाम्या जागा भरा
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उत्तर

If p ∧ q is false and p ∨ q is true, then p ↔ q is not true.

Explanation:

Since p ∧ q = false, p and q cannot both be true. And since p ∨ q = true, at least one of them must be true. This ensures that p ↔ q (which requires p and q to have the same truth value) is not true.

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पाठ 1: Mathematical Logic - Miscellaneous Exercise 1 [पृष्ठ ३२]

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बालभारती Mathematics and Statistics 1 (Arts and Science) [English] Standard 12 Maharashtra State Board
पाठ 1 Mathematical Logic
Miscellaneous Exercise 1 | Q 1.1 | पृष्ठ ३२

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