English

State which of the following sentence is a statement. Justify your answer if it is a statement. Write down its truth value. 3 + 5 > 11 - 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.

3 + 5 > 11

One Line Answer

Solution

It is a statement which is false. Hence, it’s truth value is F.

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

State which of the following is the statement. Justify. In case of a statement, state its truth value.

Can you speak in Marathi?


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.


If A = {1, 2, 3, 4, 5} then which of the following is not true?


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:

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.

1 ! = 0


Choose the correct alternative :

∼ (p ∨ q) ∨ (∼ p ∧ q) is logically equivalent to


If p and q are two statements then (p → q) ↔ (∼ q → ∼ p) is ______.


Choose the correct alternative :

Negation of the statement “This is false or That is true” 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.
(a + b)2 = a2 + 2ab + b2 for all a, b ∈ R.


Determine the truth value of the following statement.

x + y = 0 is the equation of a straight line if and only if y2 = 4x is the equation of the parabola.


Determine the truth value of the following statement.

It is not true that 2 + 3 = 6 or 12 + 3 =5


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.


State the truth Value of x2 = 25


State the truth value of (p ˅ ∼p)


Which of the following quantified statement is true?


If p ↔ (~ p → q) is false, then the truth values of p and q are respectively ______.


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×