English

State which of the following sentence is a statement. Justify your answer if it is a statement. Write down its truth value. A triangle has ‘n’ sides. - 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.

A triangle has ‘n’ sides.

One Line Answer

Solution

It is a statement which is false, hence its truth value is ‘F’.

So, the given sentence “A triangle has ‘n’ sides” is false. Because a triangle has only 3 sides.

Hence, it is false statement.

shaalaa.com
  Is there an error in this question or solution?
Chapter 1: Mathematical Logic - Exercise 1.1 [Page 2]

RELATED QUESTIONS

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 value of the following.

If 3 × 5 = 8 then 3 + 5 = 15.


If the statement p, q are true statement and r, s are false statement then determine the truth value of the following:

(q ∧ r) ∨ (∼ p ∧ s)


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

You are amazing!


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


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.


Which of the following is not a statement?


The negation of the proposition “If 2 is prime, then 3 is odd”, is ______ 


Choose the correct alternative :

Conditional p → q is equivalent to


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 :

There are 24 months in year is a statement.


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”.


Solve the following :

State which of the following sentences are statements in logic.
All integers are natural numbers.


Which of the following sentence is a statement? In case of a statement, write down the truth value.

What are the causes of rural unemployment?


Determine the truth value of the following statement.

If 9 > 1 then x2 − 2x + 1 = 0 for x = 1


If p, q, r are statements with truth values T, T, F respectively determine the truth values of the following.

(p ∧ ∼ q) ∨ (∼ p ∧ q)


State the truth value of (p ˅ ∼p)


State whether the following statement is True or False:

Truth value of `sqrt(3)` is not an irrational number is F


If p : Every square is a rectangle. q : Every rhombus is a kite, then truth values of p `rightarrow` q and p `leftrightarrow` q are ______ and ______ respectively.


lf p, q are true statements and r, s are false statements, then find the truth value of ∼ (p ∧ ∼r) ∨ (∼q ∨ s).


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×