Advertisements
Advertisements
Question
Which of the following sentence is a statement? In case of a statement, write down the truth value.
The square of every real number is positive.
Options
Is a statement
Is not a statement
Solution
It is a statement which is false. Hence, its 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 ______.
Write truth values of the following statements: ∃ n ∈ N such that n + 5 > 10.
State which of the following is the statement. Justify. In case of a statement, state its truth value.
Zero is a complex number.
State which of the following is the statement. Justify. In case of a statement, state its truth value.
It rains heavily.
Write the truth values of the following.
4 is odd or 1 is prime.
Write the truth values of the following.
24 is a composite number or 17 is a prime number.
Which of the following sentence is the statement in logic? Justify. Write down the truth value of the statement:
π is an irrational number.
Write the truth value of the following statement:
∃ n ∈ N such that n + 5 > 10.
State which of the following sentence is a statement. Justify your answer if it is a statement. Write down its truth value.
Please grant me a loan.
If p and q are two statements then (p → q) ↔ (∼ q → ∼ p) is ______.
If p ∨ q is true then truth value of ∼ p ∨ ∼ q is ______.
Fill in the blanks :
Truth value of if x = 2, then x2 = − 4 is –––––––––.
Solve the following :
State which of the following sentences are statements in logic.
x + 3 = 8 ; x is variable.
Which of the following sentence is a statement? In case of a statement, write down the truth value.
(x − 2) (x − 3) = x2 − 5x + 6 for all x∈R.
State whether the following statement is True or False:
The dual of (p ˄ q) ˅ ~ q is (p ˅ q) ˄ ~ q
State whether the following statement is True or False:
p ˅ ~ p ≡ ~ c
If p ↔ q and p → q both are true, then find truth values of the following with the help of activity
p ˄ q
|
p ↔ q and p → q both are true if p and q has truth value `square`, `square` or `square`, `square` p ˄ q i. If both p and q are true, then p ˄ q = `square` ˄ `square` = `square` ii. If both p and q are false, then p ˄ q = `square` ˄ `square` = `square` |
If the truth value of statement (q ∧ ~ r) → p is false (F), then the truth values of the statements p, q, rare respectively.
The position vector of points A and B are `6bar(a) + 2bar(b) and bar(a) -3bar(b)` . If the point C divides AB in the ratio 3 : 2 then show that the position vector of C is 3`bar(a)- bar(b)`.
