Advertisements
Advertisements
प्रश्न
Determine the truth value of the following statement.
It is not true that 2 + 3 = 6 or 12 + 3 =5
उत्तर
Let p : 2 + 3 = 6
q : 12 + 3 = 5
The truth values of p and q are F and F respectively.
The given statement in symbolic form is ~(p ∨ q).
∴ ~(p ∨ q) ≡ ~(F ∨ F) ≡ ~F ≡ T
∴ Truth value of the given statement is T.
APPEARS IN
संबंधित प्रश्न
State which of the following is the statement. Justify. In case of a statement, state its truth value.
Close the door.
State which of the following is the statement. Justify. In case of a statement, state its truth value.
Do you like Mathematics?
Write the truth values of the following.
5 is a prime number and 7 divides 94.
If A = {3, 5, 7, 9, 11, 12}, determine the truth value of the following.
∃ x ∈ A such that x – 8 = 1
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.
State which of the following sentence is a statement. Justify your answer if it is a statement. Write down its truth value.
(x + y)2 = x2 + 2xy + y2 for all x, y ∈ R.
Choose the correct alternative :
If p : He is intelligent.
q : He is strong
Then, symbolic form of statement “It is wrong that, he is intelligent or strong” is
Choose the correct alternative:
Which of the following is always true?
If p and q are two statements then (p → q) ↔ (∼ q → ∼ p) is ______.
Fill in the blanks :
The statement q → p is called as the ––––––––– of the statement p → q.
State whether the following statement is True or False :
Dual of “John and Ayub went to the forest” is “John and Ayub went to the forest”.
State whether the following statement is True or False :
x2 = 25 is true statement.
Solve the following :
State which of the following sentences are statements in logic.
All integers are natural numbers.
Solve the following :
State which of the following sentences are statements in logic.
If x is real number then x2 ≥ 0.
Which of the following sentence is a statement? In case of a statement, write down the truth value.
Every parallelogram is a rhombus.
The truth value of the statement “Neither 27 is a prime number nor divisible by 4” is ______
Using truth table prove that ~ p ˄ q ≡ ( p ˅ q) ˄ ~ p
If (p ∧ ~ q) → ~ p is false, the truth values of p and q are respectively.
Find the truth value of the following compound statement:
5 + 4 = 9 and 6 × 3 = 12
