Advertisements
Advertisements
प्रश्न
Show that (p ∧ q) ≡ ¬p v ¬q
Advertisements
उत्तर
| p | q | p ∧ q | ¬(p v q) | ¬p | ¬q | ¬p v ¬q |
| T | T | T | F | F | F | F |
| T | F | F | T | F | T | T |
| F | T | F | T | T | F | T |
| F | F | F | T | T | T | T |
The entries in the columns corresponding to ¬(p ∧ q) and ¬P v ¬q are identical and hence they are equivalent.
APPEARS IN
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 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
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.
11 is a prime number and all the sides of a rectangle are equal
Which one of the following sentences is a proposition?
4 + 7 = 12
Which one of the following sentences is a proposition?
3n ≤ 81, n ∈ N
Construct the truth table for the following statement.
¬P ∧ ¬q
Construct the truth table for the following statement.
¬(P ∧ ¬q)
Construct the truth table for the following statement
(¬p → r) ∧ (p ↔ q)
Verify whether the following compound propositions are tautologies or contradictions or contingency.
(p ∧ q) ∧¬ (p v q)
Prove that q → p ≡ ¬p → ¬q
Show that p → q and q → p are not equivalent
Prove that p → (¬q v r) ≡ ¬p v (¬q v r) using truth table
Choose the correct alternative:
The operation * defined by a * b = `"ab"/7` is not a binary operation on
Choose the correct alternative:
Which one of the following statements has the truth value T?
Choose the correct alternative:
Which one of the following statements has truth value F?
Choose the correct alternative:
Which one is the inverse of the statement (p v q) → (p ∧ q)?
Choose the correct alternative:
Which one is the contrapositive of the statement (p v q) → r?
Choose the correct alternative:
The truth table for (p ∧ q) v ¬q is given below
| p | q | (p ∧ q) v ¬q |
| T | T | (a) |
| T | F | (b) |
| F | T | (c) |
| F | F | (d) |
Which one of the following is true?
