English

State which of the following sentence is a statement. Justify your answer if it is a statement. Write down its truth value. Two co-planar lines are either parallel or intersecting. - 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.

Two co-planar lines are either parallel or intersecting.

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

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

The sum of cube roots of unity is zero.


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:

[∼ p ∧ (∼ q ∧ r)] ∨ [(q ∧ r) ∨ (p ∧ r)]


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:

∀ n ∈ N, n + 6 > 8.


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.

1 ! = 0


Choose the correct alternative :

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


Solve the following :

State which of the following sentences are statements in logic.
z is a positive number.


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

0! = 1


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

(p ∧ q) → ∼ p.


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

∼ [(p → q) ↔ (p ∧ ∼ q)]


If A = {2, 3, 4, 5, 6, 7, 8}, determine the truth value of the following statement.

∃ x ∈ A, such that x + 3 < 11.


The dual of the statement (p ˅ q) ˄ (r ˅ s) is ______.


State whether the following statement is True or False:

p → q is equivalent to p → ~ q


State whether the following statement is True or False:

Mathematical identities are true statements


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×