Advertisements
Advertisements
Question
Construct the truth table for the following statement.
¬(P ∧ ¬q)
Solution
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
RELATED QUESTIONS
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 ∧ ¬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 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
Write the following sentences in symbolic form using statement variables p and q.
19 is a prime number and all the angles of a triangle are 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
Construct the truth table for the following statement.
(p v q) v ¬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 → q)
Prove that q → p ≡ ¬p → ¬q
Show that p → q and q → p are not equivalent
Prove p → (q → r) ≡ (p ∧ q) → r without using the truth table
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:
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?
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