Advertisements
Advertisements
Question
Assuming the following statement.
p : Stock prices are high.
q : Stocks are rising.
to be true, find the truth value of the following.
It is false that stocks are rising and stock prices are high.
Solution
The symbolic form of the given statement is ~(q ∧ p).
∴ ~(q ∧ p) ≡ ~(T ∧ T) ≡ ~T ≡ F
Hence, truth value is F.
Notes
The answer in the textbook is incorrect.
APPEARS IN
RELATED QUESTIONS
If p ˄ q = F, p → q = F, then the truth value of p and q is ______.
Using truth tables, examine whether the statement pattern (p ∧ q) ∨ (p ∧ r) is a tautology, contradiction or contingency.
State which of the following is the statement. Justify. In case of a statement, state its truth value.
Close the door.
Write the truth values of the following.
4 is odd or 1 is prime.
If the statement p, q are true statement and r, s are false statement then determine the truth value of the following:
[∼ p ∧ (∼ q ∧ r)] ∨ [(q ∧ r) ∨ (p ∧ r)]
If A = {3, 5, 7, 9, 11, 12}, determine the truth value of the following.
∀ x ∈ A, x2 + x is an even number
Which of the following sentence is the statement in logic? Justify. Write down the truth value of the statement:
4! = 24.
Write the truth value of the following statement:
∀ n ∈ N, n + 6 > 8.
State which of the following sentence is a statement. Justify your answer if it is a statement. Write down its truth value.
The sum of interior angles of a triangle is 180°
Fill in the blanks :
Truth value of if x = 2, then x2 = − 4 is –––––––––.
State whether the following statement is True or False :
“His birthday is on 29th February” is not a statement.
Solve the following :
State which of the following sentences are statements in logic.
x + 3 = 8 ; x is variable.
Solve the following :
State which of the following sentences are statements in logic.
All integers are natural numbers.
Which of the following sentence is a statement? In case of a statement, write down the truth value.
What are the causes of rural unemployment?
Determine the truth value of the following statement.
If 9 > 1 then x2 − 2x + 1 = 0 for x = 1
If p, q, r are statements with truth values T, T, F respectively determine the truth values of the following.
p ↔ (q → ∼ p)
If p, q, r are statements with truth values T, T, F respectively determine the truth values of the following.
(p ∧ ∼ q) ∨ (∼ p ∧ q)
Using truth table prove that p ˅ (q ˄ r) ≡ (p ˅ q) ˄ (p ˅ r).
Which of the following quantified statement is true?
