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प्रश्न
If p : He swims
q : Water is warm
Give the verbal statement for the following symbolic statement.
~ (p ∨ q)
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उत्तर
It is not true that he swims or water is warm.
संबंधित प्रश्न
Using the truth table, prove the following logical equivalence :
p ↔ q ≡ (p ∧ q) ∨ (~p ∧ ~q)
Construct the truth table of the following statement pattern.
(p ∧ ∼q) ↔ (p → q)
Determine the truth values of p and q in the following case:
(p ∨ q) is T and (p ∨ q) → q is F
Determine the truth values of p and q in the following case:
(p ∧ q) is F and (p ∧ q) → q is T
Express the following statement in symbolic form.
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3 is a prime number and an odd number.
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(p → q) ∨ (r ∧ s)
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Mona likes Mathematics and Physics.
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The drug is effective though it has side effects.
Assuming the first statement p and second as q. Write the following statement in symbolic form.
Even though it is not cloudy, it is still raining.
If p : Proof is lengthy.
q : It is interesting.
Express the following statement in symbolic form.
Proof is lengthy and it is not interesting.
Let p : Sachin wins the match.
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r : Sachin is happy.
Write the verbal statement of the following.
∼ p ∨ q
Let p : Sachin wins the match.
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.
If x ∈ A ∩ B, then x ∈ A and x ∈ B.
Write the following statement in symbolic form:
Milk is white if and only if the sky is not blue.
Write the following statements in symbolic form
If Kutab – Minar is in Delhi then Taj - Mahal is in Agra
Using truth table prove that p ˅ (q ˄ r) ≡ (p ˅ q) ˄ (p ˅ r)
Without using truth table show that -
(p ˅ q) ˄ (∼p v ∼q) ≡ (p ∧ ∼q) ˄ (∼p ∧ q)
Choose the correct alternative:
A biconditional statement is the conjunction of two ______ statements
If p : Every natural number is a real number.
q : Every integer is a complex number. Then truth values of p → q and p ↔ q are ______ and ______ respectively.
If c denotes the contradiction then the dual of the compound statement ∼p ∧ (q ∨ c) is ______
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Which of the following is logically equivalent to `∼(∼p \implies q)`?
Express the following compound statement symbolically:
Delhi is in India but Dhaka is not in Sri Lanka
