Advertisements
Advertisements
प्रश्न
Construct the truth table for the following statement.
¬(P ∧ ¬q)
Advertisements
उत्तर
| p | q | ¬p | p ∧ ¬q | ¬(P ∧ ¬q) |
| T | T | F | F | T |
| T | F | T | T | F |
| F | T | F | F | T |
| F | F | T | F | T |
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
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 a prime number or all the angles of a triangle are not equal
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
Write the converse, inverse, and contrapositive of the following implication.
If x and y are numbers such that x = y, then x2 = y2
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) ∧¬ (p v q)
Verify whether the following compound propositions are tautologies or contradictions or contingency.
((p v q) ∧¬p) → q
Verify whether the following compound propositions are tautologies or contradictions or contingency.
(p → q) ↔ (¬p → q)
Show that (p ∧ q) ≡ ¬p v ¬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
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:
| 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
