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प्रश्न
If p → q is an implication, then the implication ∼ q → ∼ p is called its
पर्याय
Converse
Contrapositive
Inverse
Alternative
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उत्तर
Contrapositive
संबंधित प्रश्न
Examine whether each of the following statement patterns is a tautology or a contradiction or a contingency.
[~(~p ∧ ~q)] v q
Using truth table, prove the following logical equivalence:
(p ∧ q) → r ≡ p → (q → r)
Using truth table prove that ∼p ˄ q ≡ (p ˅ q) ˄ ∼p
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Write the following compound statement symbolically.
The angle is right angle if and only if it is of measure 90°.
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(p ∧ ∼q) ↔ (p → q)
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Construct the truth table of the following statement pattern.
(q → p) ∨ (∼ p ↔ q)
Construct the truth table of the following:
∼ (∼p ∧ ∼q) ∨ q
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Mango is a fruit but potato is a vegetable.
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A quadratic equation has two distinct roots or 6 has three prime factors.
Write the truth value of the negation of the following statement.
`sqrt5` is an irrational number.
Write the following statement in symbolic form.
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Write the following statement in symbolic form.
Stock prices are high if and only if stocks are rising.
Write the following statement in symbolic form.
If Kutub-Minar is in Delhi then Taj-Mahal is in Agra.
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p ∧ (q ∧ r)
If p and q are true and r and s are false, find the truth value of the following compound statement.
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find the truth values of the following statements.
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The Sun has set and Moon has risen.
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The drug is effective though it has side effects.
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q : It is interesting.
Express the following statement in symbolic form.
If proof is lengthy then it is interesting.
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r : Sachin is happy.
Write the verbal statement of the following.
(p ∧ q) ∨ r
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q : Sachin is a member of Rajya Sabha.
r : Sachin is happy.
Write the verbal statement of the following.
p → q
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q : Sachin is a member of Rajya Sabha.
r : Sachin is happy.
Write the verbal statement of the following.
(p ∧ q) ∧ ∼ r
Write the negation of the following.
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Write the following statements in symbolic form.
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Write the following statement in symbolic form.
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Express the following compound statement symbolically:
3 + 8 ≥ 12 if and only if 5 × 4 ≤ 25
