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प्रश्न
Write the dual of the following statements:
Madhuri has curly hair and brown eyes.
उत्तर
Dual of Madhuri has curly hair and brown eyes is “Madhuri has curly hair or brown eyes”.
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संबंधित प्रश्न
Examine whether the following logical statement pattern is a tautology, contradiction, or contingency.
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If p : It is raining
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Express the following statement in symbolic form and write its truth value.
"If 4 is an odd number, then 6 is divisible by 3."
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Use the quantifiers to convert the following open sentence defined on N into true statement:
x2 ≥ 1
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Using the truth table prove the following logical equivalence.
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(p ↔ q) ∧ (p → ∼ q)
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∼ (∼ q ∧ p) ∧ q
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q ∨ [~ (p ∧ q)]
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~ p → (p → ~ q)
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Prove that the following statement pattern is a tautology.
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Prove that the following statement pattern is a contradiction.
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Show that the following statement pattern is contingency.
(p → q) ↔ (~ p ∨ q)
Using the truth table, verify
p → (p → q) ≡ ~ q → (p → q)
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Prove that the following pair of statement pattern is equivalent.
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Prove that the following pair of statement pattern is equivalent.
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~(p ∨ q) ∧ [p ∨ ~ (q ∧ ~ r)]
Write the dual of the following:
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Write the dual statement of the following compound statement.
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(p → r) ∧ q
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~(p ∨ q) → r
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(~p ∧ q) ∧ (~q ∨ ~r)
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If he studies, then he will go to college.
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Using the truth table, prove the following logical equivalence.
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p ∧ (~p ∨ q) ≡ p ∧ q
Write the converse, inverse, contrapositive of the following statement.
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If I do not work hard, then I do not prosper.
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State the dual of the following statement by applying the principle of duality.
p ∨ (q ∨ r) ≡ ~[(p ∧ q) ∨ (r ∨ s)]
State the dual of the following statement by applying the principle of duality.
2 is even number or 9 is a perfect square.
Write the dual of the following.
(~p ∧ q) ∨ (p ∧ ~q) ∨ (~p ∧ ~q)
Write the dual of the following.
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Determine whether the following statement pattern is a tautology, contradiction, or contingency:
[(∼ p ∧ q) ∧ (q ∧ r)] ∧ (∼ q)
Write the negation of the following statement:
(p `rightarrow` q) ∨ (p `rightarrow` r)
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(∼p ∧ ∼q) → (p → q)
The converse of contrapositive of ∼p → q is ______.
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(p ∧ q) → (q ∨ p)
In the triangle PQR, `bar(PQ) = 2bara and bar(QR)` = `2 bar(b)` . The mid-point of PR is M. Find following vectors in terms of `bar(a) and bar(b)` .
- `bar(PR)`
- `bar(PM)`
- `bar(QM)`
