Advertisements
Advertisements
प्रश्न
Construct the truth table for the following statement
(¬p → r) ∧ (p ↔ q)
Advertisements
उत्तर
| p | q | r | ¬p | ¬p → r | (p ↔ q) | (¬p → r) ∧ (p ↔ q) |
| T | T | T | F | T | T | T |
| T | T | F | F | T | T | T |
| T | F | T | F | T | F | F |
| T | F | F | F | T | F | F |
| F | T | T | T | T | F | F |
| F | T | F | T | F | F | F |
| F | F | T | T | T | T | T |
| F | F | F | T | F | T | F |
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 ∧ ¬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.
If 6 + 2 = 5, then the milk is white.
Which one of the following sentences is a proposition?
4 + 7 = 12
Which one of the following sentences is a proposition?
Peacock is our national bird
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 v q) v ¬q
Verify whether the following compound propositions are tautologies or contradictions or contingency.
((p → q) ∧ (q → r)) → (p → r)
Show that (p ∧ q) ≡ ¬p v ¬q
Prove that q → p ≡ ¬p → ¬q
Show that p → q and q → p are not equivalent
Choose the correct alternative:
Which one of the following statements has truth value F?
Choose the correct alternative:
| p | q | (p ∧ q) → ¬p |
| T | T | (a) |
| T | F | (b) |
| F | T | (c) |
| F | F | (d) |
Which one of the following is correct for the truth value of (p ∧ q) → ¬p
Choose the correct alternative:
The dual of ¬(p v q) v [p v(p ∧ ¬r)] is
Choose the correct alternative:
Which one of the following is not true?
