English

State which of the following sentence is a statement. Justify your answer if it is a statement. Write down its truth value. If a + b < 7, where a ≥ 0 and b ≥ 0 then a < 7 and b < 7. - 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.

If a + b < 7, where a ≥ 0 and b ≥ 0 then a < 7 and b < 7.

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

If p ˄ q = F, p → q = F, then the truth value of p and q is ______.


Write truth values of the following statements :`sqrt5` is an irrational number but 3 +`sqrt 5` is a complex number.


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

Close the door.


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

(∼ r ↔ p) → ∼ q


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

cos2θ − sin2θ = cos2θ for all θ∈R.


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.


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

`sqrt(-4)` is an irrational number.


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

x2 − 6x + 8 = 0 implies x = −4 or x = −2.


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

Did you eat lunch yet?


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

With the sunset the day ends.


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.


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

x2 - y2 = (x + y)(x - y) for all x, y ∈ R.


Fill in the blanks :

Truth value of 2 + 3 = 5 if and only if − 3 > − 9 is –––––––––.


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.
(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.

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


Determine the truth value of the following statement.

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


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) → ∼ (q ∧ p)


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×