Advertisements
Advertisements
प्रश्न
Solve the following :
State which of the following sentences are statements in logic.
All integers are natural numbers.
विकल्प
Is a statement
Is not a statement
उत्तर
Is a statement
APPEARS IN
संबंधित प्रश्न
If p, q, r are the statements with truth values T, F, T, respectively then find the truth value of (r ∧ q) ↔ ∼ p
State which of the following is the statement. Justify. In case of a statement, state its truth value.
Zero is a complex number.
Write the truth values of the following.
64 is a perfect square and 46 is a prime number.
Write the truth value of the following statement:
In ΔABC if all sides are equal then its all angles are equal.
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 number π is an irrational number.
State which of the following sentence is a statement. Justify your answer if it is a statement. Write down its truth value.
The number 2 is the only even prime number.
Which of the following statements is false?
The negation of the proposition “If 2 is prime, then 3 is odd”, is ______
Choose the correct alternative :
If p is the sentence ‘This statement is false’ then
Fill in the blanks :
Truth value of if x = 2, then x2 = − 4 is –––––––––.
State whether the following statement is True or False :
There are 24 months in year is a statement.
Solve the following :
State which of the following sentences are statements in logic.
Why are you sad?
Which of the following sentence is a statement? In case of a statement, write down the truth value.
The quadratic equation ax2 + bx + c = 0 (a ≠ 0) always has two real roots.
Assuming the following statement.
p : Stock prices are high.
q : Stocks are rising.
to be true, find the truth value of the following.
Stock prices are not high or stocks are rising.
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)
If A = {2, 3, 4, 5, 6, 7, 8}, determine the truth value of the following statement.
∀ x ∈ A, x2 < 18.
If A = {2, 3, 4, 5, 6, 7, 8}, determine the truth value of the following statement.
∃ x ∈ A, such that x + 3 < 11.
If A = {2, 3, 4, 5, 6, 7, 8}, determine the truth value of the following statement.
∀ x ∈ A, x2 + 2 ≥ 5.