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
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 not a prime number
Determine the truth value of the following statement.
If 6 + 2 = 5, then the milk is white.
Determine the truth value of the following statement.
China is in Europe dr `sqrt(3)` is art integer
Which one of the following sentences is a proposition?
3n ≤ 81, n ∈ N
Write the converse, inverse, and contrapositive of the following implication.
If a quadrilateral is a square then it is a rectangle
Construct the truth table for the following statement.
¬P ∧ ¬q
Show that (p ∧ q) ≡ ¬p v ¬q
Check whether the statement p → (q → p) is a tautology or a contradiction without using the truth table
Using the truth table check whether the statements ¬(p v q) v (¬p ∧ q) and ¬p are logically equivalent
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 is incorrect? For any two propositions p and q, we have
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?
