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प्रश्न
Choose the correct alternative:
If a compound statement involves 3 simple statements, then the number of rows in the truth table is
पर्याय
9
8
6
3
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उत्तर
8
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संबंधित प्रश्न
Let p : Jupiter is a planet and q : India is an island be any two simple statements. Give verbal sentence describing the following statement.
¬ P
Let p : Jupiter is a planet and q : India is an island be any two simple statements. Give verbal sentence describing the following statement.
¬p v q
Let p : Jupiter is a planet and q : India is an island be any two simple statements. Give verbal sentence describing the following statement.
p → ¬q
Write the following sentences in symbolic form using statement variables p and q.
19 is not a prime number and all the angles of a triangle are equal
Write the following sentences in symbolic form using statement variables p and q.
19 is a prime number or all the angles of a triangle are not equal
Determine the truth value of the following statement.
China is in Europe dr `sqrt(3)` is art integer
Determine the truth value of the following statement.
It is not true that 5 + 5 = 9 or Earth is a planet
Which one of the following sentences is a proposition?
What are you doing?
Which one of the following sentences is a proposition?
3n ≤ 81, n ∈ N
Write the converse, inverse, and contrapositive of the following implication.
If x and y are numbers such that x = y, then x2 = y2
Verify whether the following compound propositions are tautologies or contradictions or contingency.
(p → q) ↔ (¬p → q)
Show that ¬(p → q) ≡ p ∧¬q
Prove that q → p ≡ ¬p → ¬q
Using the truth table check whether the statements ¬(p v q) v (¬p ∧ q) and ¬p are logically equivalent
Prove p → (q → r) ≡ (p ∧ q) → r without using the truth table
Choose the correct alternative:
Which one of the following statements has the truth value T?
Choose the correct alternative:
Which one is the contrapositive of the statement (p v q) → r?
Choose the correct alternative:
The dual of ¬(p v q) v [p v(p ∧ ¬r)] is
