English

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. - Mathematics and Statistics

Advertisements
Advertisements

Question

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.

One Line Answer

Solution

It is a statement which is true. Hence, it’s truth value is T.

shaalaa.com

Notes

The answer in the textbook is incorrect.

  Is there an error in this question or solution?
Chapter 1: Mathematical Logic - Exercise 1.1 [Page 3]

RELATED QUESTIONS

Write the following statement in symbolic form and find its truth value:
∀ n ∈ N, n2 + n is an even number and n2 - n is an odd number.


Write the truth value of the following.

If 3 × 5 = 8 then 3 + 5 = 15.


Which of the following sentence is the statement in logic? Justify. Write down the truth value of the statement:

4! = 24.


`sqrt5` is an irrational but `3sqrt5` is a complex number.


Write the truth value of the following statement:

The square of any even number is odd or the cube of any odd number is odd.


State which of the following sentence is a statement. Justify your answer if it is a statement. Write down its truth value.

He is an actor.


State which of the following sentence is a statement. Justify your answer if it is a statement. Write down its truth value.

Have a cup of cappuccino.


Which of the following statements is false?


If p ∨ q is true then truth value of ∼ p ∨ ∼ q is ______.


State whether the following statement is True or False :

Dual of (p ∧ ∼ q) ∨ t is (p ∨ ∼ q) ∨ C.


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.
(a + b)2 = a2 + 2ab + b2 for all a, b ∈ R.


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.


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 high and stocks are rising if and only if stock prices are high.


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, such that 3x + 2 > 9


Choose the correct alternative :

Which of the following is not a statement?


Using truth table prove that ~ p ˄ q ≡ ( p ˅ q) ˄ ~ p


If p `rightarrow` (p ∧ ∼q) is false, then the truth values of p and q are respectively ______.


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×