Advertisements
Advertisements
Question
Determine the truth value of the following statement.
If 6 + 2 = 5, then the milk is white.
Advertisements
Solution
p: 6 + 2 = 5(F)
q: Milk is white (T)
∴ p → q is having the truth value 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
Which one of the following sentences is a proposition?
4 + 7 = 12
Which one of the following sentences is a proposition?
What are you doing?
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
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 → r) ∧ (p ↔ q)
Verify whether the following compound propositions are tautologies or contradictions or contingency.
(p ∧ q) ∧¬ (p v q)
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 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 contrapositive of the statement (p v q) → r?
Choose the correct alternative:
In the last column of the truth table for ¬(p v ¬q) the number of final outcomes of the truth value ‘F’ is
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:
The proposition p∧(¬p∨q)] is
