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State whether the following statement is True or False: Mathematical identities are true statements - Mathematics and Statistics

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प्रश्न

State whether the following statement is True or False:

Mathematical identities are true statements

विकल्प

  • True

  • False

MCQ
संख्यात्मक
सत्य या असत्य
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उत्तर

True

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अध्याय 1.1: Mathematical Logic - Q.2

संबंधित प्रश्न

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


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.


If p, q, r are the statements with truth values T, F, T, respectively then find the truth value of (r ∧ q) ↔ ∼ p


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

5 + 4 = 13


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

All real numbers are whole numbers.


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


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


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

∃ x ∈ A such that x – 8 = 1


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.

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.

1 is a prime number.


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.

3 + 5 > 11


Choose the correct alternative :

If p is the sentence ‘This statement is false’ then


Choose the correct alternative :

Conditional p → q is equivalent to


Fill in the blanks :

Truth value of if x = 2, then x2 = − 4 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.
How beautiful the flower is!


Solve the following :

State which of the following sentences are statements in logic.
If x is real number then x2 ≥ 0.


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

The quadratic equation ax2 + bx + c = 0 (a ≠ 0) always has two real roots.


Determine the truth value of the following statement.

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


Determine the truth value of the following statement.

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


State the truth value of (p ˅ ∼p)


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:

p ˅ ~ p ≡ ~ c


If p `rightarrow` (p ∧ ∼q) is false, then the truth values of p and q are respectively ______.


Find the truth value of the following compound statement:

5 + 4 = 9 and 6 × 3 = 12


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