मराठी
महाराष्ट्र राज्य शिक्षण मंडळएचएससी वाणिज्य (इंग्रजी माध्यम) इयत्ता १२ वी

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

प्रश्न

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.

एका वाक्यात उत्तर

उत्तर

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

shaalaa.com

Notes

The answer in the textbook is incorrect.

  या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?
पाठ 1: Mathematical Logic - Exercise 1.1 [पृष्ठ ३]

APPEARS IN

संबंधित प्रश्‍न

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.


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

x – 3 = 14


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

The sunsets in the west


Write the truth values of the following.

It is not true that 5−3i is a real number.


Write the truth value of the following.

If 3 × 5 = 8 then 3 + 5 = 15.


Write the truth values of the following.

24 is a composite number or 17 is a prime number.


If A = {3, 5, 7, 9, 11, 12}, determine the truth value of the following.

∃ x ∈ A such that x2 < 0


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

India is a country and Himalayas is a river.


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

The number 2 is the only even prime number.


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.


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

Can you speak in English?


Which of the following statements is false?


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.

What are the causes of rural unemployment?


Determine the truth value of the following statement.

4 + 5 = 7 or 9 − 2 = 5


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

∼ [(p → q) ↔ (p ∧ ∼ q)]


Choose the correct alternative :

Which of the following is not a statement?


State whether the following statement is True or False:

p → q is equivalent to p → ~ q


The truth value of the statement “Neither 27 is a prime number nor divisible by 4” is ______


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×