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
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 and all the angles of a triangle are equal
Determine the truth value of the following statement.
11 is a prime number and all the sides of a rectangle are equal
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
Which one of the following sentences is a proposition?
How tall this mountain is!
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 → r) ∧ (p ↔ q)
Show that (p ∧ q) ≡ ¬p v ¬q
Show that ¬(p ↔ q) ≡ p ↔ ¬q
Prove p → (q → r) ≡ (p ∧ q) → r without using the truth table
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 inverse of the statement (p v q) → (p ∧ q)?
Choose the correct alternative:
Which one is the contrapositive of the statement (p v q) → r?
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 proposition p∧(¬p∨q)] is
