Advertisements
Advertisements
प्रश्न
The dual of the statement (p ˅ q) ˄ (r ˅ s) is ______.
विकल्प
(p ˄ q) ˄ (r ˄ s)
(p ˄ q) ˅ (r ˄ s)
(p ˅ q) ˅ (r ˅ s)
(p ˅ q) ˄ (r ˅ s)
Advertisements
उत्तर
The dual of the statement (p ˅ q) ˄ ( r ˅ s) is (p ˄ q) ˅ (r ˄ s).
Explanation:
The dual of a proposition that contains only the logical operators ∨, ∧ can be obtained by replacing each ∨ by ∧ and each ∧ by ∨.
संबंधित प्रश्न
State which of the following is the statement. Justify. In case of a statement, state its truth value.
Please get me breakfast.
State which of the following is the statement. Justify. In case of a statement, state its truth value.
Congruent triangles are similar.
Write the truth values of the following.
4 is odd or 1 is prime.
If the statement p, q are true statement and r, s are false statement then determine the truth value of the following:
p ∨ (q ∧ r)
If the statement p, q are true statement and r, s are false statement then determine the truth value of the following:
∼ [(∼ p ∧ r) ∨ (s → ∼ q)] ↔ (p ∧ r)
If A = {3, 5, 7, 9, 11, 12}, determine the truth value of the following.
∃ x ∈ A such that x – 8 = 1
Which of the following sentence is the statement in logic? Justify. Write down the truth value of the statement:
π is an irrational number.
Which of the following sentence is the statement in logic? Justify. Write down the truth value of the statement:
If x is a whole number then x + 6 = 0.
Write the truth value of the following statement:
∃ n ∈ N such that n + 5 > 10.
State which of the following sentence is a statement. Justify your answer if it is a statement. Write down its truth value.
You are amazing!
State which of the following sentence is a statement. Justify your answer if it is a statement. Write down its truth value.
The number π is an irrational number.
State which of the following sentence is a statement. Justify your answer if it is a statement. Write down its truth value.
The number of arrangements of 7 girls in a row for a photograph is 7!.
Choose the correct alternative :
For the following three statements
p : 2 is an even number.
q : 2 is a prime number.
r : Sum of two prime numbers is always even.
Then, the symbolic statement (p ∧ q) → ∼ r means.
Choose the correct alternative:
Which of the following is always true?
Fill in the blanks :
Truth value of if x = 2, then x2 = − 4 is –––––––––.
Solve the following :
State which of the following sentences are statements in logic.
x + 3 = 8 ; x is variable.
Solve the following :
State which of the following sentences are statements in logic.
What a horrible sight it was!
Which of the following sentence is a statement? In case of a statement, write down the truth value.
a2 − b2 = (a + b) (a − b) for all a, b ∈ R.
Which of the following sentence is a statement? In case of a statement, write down the truth value.
What are the causes of rural unemployment?
If p, q, r are statements with truth values T, T, F respectively determine the truth values of the following.
(p ∧ q) → ∼ p.
If p, q, r are statements with truth values T, T, F respectively determine the truth values of the following.
(p ∧ ∼ q) ∨ (∼ p ∧ q)
If p, q, r are statements with truth values T, T, F respectively determine the truth values of the following.
∼ (p ∧ q) → ∼ (q ∧ p)
If A = {2, 3, 4, 5, 6, 7, 8}, determine the truth value of the following statement.
∀ x ∈ A, x2 < 18.
State the truth value of `sqrt(3)` is not an irrational number
State the truth value of (p ˄ ∼p)
State whether the following statement is True or False:
Mathematical identities are true statements
Using truth table prove that ~ p ˄ q ≡ ( p ˅ q) ˄ ~ p
Let a: ~ (p ∧ ~ r) v (~ q v s) and
b: (p v s) ↔ (q ∧ r).
If the truth values of p and q are true and that of rands are false, then the truth values of a and bare respectively.
If p ↔ (~ p → q) is false, then the truth values of p and q are respectively ______.
