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प्रश्न
Write the dual statement of the following compound statement.
A number is a real number and the square of the number is non-negative.
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उत्तर
A number is a real number or the square of the number is non-negative.
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संबंधित प्रश्न
Write the dual of the following statements:
Madhuri has curly hair and brown eyes.
If p : It is raining
q : It is humid
Write the following statements in symbolic form:
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(b) If it is raining then it is humid.
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Using truth table, examine whether the following statement pattern is tautology, contradiction or contingency: p ∨ [∼(p ∧ q)]
Write the negation of the following statement :
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(p ↔ q) ∧ (p → ∼ q)
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Determine whether the following statement pattern is a tautology, contradiction or contingency:
[(p ∧ (p → q)] → q
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(p ∧ q) ∨ (∼p ∧ q) ∨ (p ∨ ∼q) ∨ (∼p ∧ ∼q)
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[(p ∨ ∼q) ∨ (∼p ∧ q)] ∧ r
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(p ∧ q) ∨ ~ r
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(~p ∧ ~q ) → (p → q)
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(p → r) ∧ q
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(p ↔ q) v (~ q → ~ r)
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Write the dual of the following.
(p ∧ q) ∧ r ≡ p ∧ (q ∧ r)
Write the dual of the following.
13 is prime number and India is a democratic country
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[(∼ p ∧ q) ∧ (q ∧ r)] ∧ (∼ q)
Examine whether the following statement pattern is a tautology or a contradiction or a contingency:
(∼p ∧ ∼q) → (p → q)
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