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Verify whether the following compound propositions are tautologies or contradictions or contingency. (p → q) ↔ (¬p → q) - Mathematics

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प्रश्न

Verify whether the following compound propositions are tautologies or contradictions or contingency.

(p → q) ↔ (¬p → q)

तक्ता
बेरीज

उत्तर

p q ¬p p → q ¬p → q (p → q) ↔ (¬p → q)
T T F T T T
T F F F T F
F T T T T T
F F T T F F

The entries in the last column are a combination of T and F.

∴ The given statement is a contingency.

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Mathematical Logic
  या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?
पाठ 12: Discrete Mathematics - Exercise 12.2 [पृष्ठ २४९]

APPEARS IN

सामाचीर कलवी Mathematics - Volume 1 and 2 [English] Class 12 TN Board
पाठ 12 Discrete Mathematics
Exercise 12.2 | Q 7. (iii) | पृष्ठ २४९

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Choose the correct alternative:

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Choose the correct alternative:

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The truth table for (p ∧ q) v ¬q is given below

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Choose the correct alternative:

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