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Solve the following : State which of the following sentences are statements in logic.Ice cream Sundaes are my favourite. - Mathematics and Statistics

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प्रश्न

Solve the following :

State which of the following sentences are statements in logic.
x + 3 = 8 ; x is variable.

विकल्प

  • Is a statement

  • Is not a statement

MCQ

उत्तर

Is a statement

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  क्या इस प्रश्न या उत्तर में कोई त्रुटि है?
अध्याय 1: Mathematical Logic - Miscellaneous Exercise 1 [पृष्ठ ३१]

APPEARS IN

बालभारती Mathematics and Statistics 1 (Commerce) [English] 12 Standard HSC Maharashtra State Board
अध्याय 1 Mathematical Logic
Miscellaneous Exercise 1 | Q 4.01 | पृष्ठ ३१

संबंधित प्रश्न

Write truth values of the following statements: ∃ n ∈ N such that n + 5 > 10.


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

Close the door.


Write the truth values of the following.

4 is odd or 1 is prime.


Write the truth values of the following.

5 is a prime number and 7 divides 94.


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 → p) → (∼ s ∨ 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:

In ΔABC if all sides are equal then its all angles are equal.


Choose the correct alternative :

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


Solve the following :

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


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The Himalayas is the highest mountain range.


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x + y = 0 is the equation of a straight line if and only if y2 = 4x is the equation of the parabola.


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

∃ x ∈ A, such that 3x + 2 > 9


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

∃ x ∈ A, such that x + 3 < 11.


Choose the correct alternative :

Which of the following is not a statement?


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If p ↔ q and p → q both are true, then find truth values of the following with the help of activity

p ˄ q

p ↔ q and p → q both are true if p and q has truth value `square`, `square` or `square`, `square`

p ˄ q

i. If both p and q are true, then p ˄ q = `square` ˄ `square` = `square`

ii. If both p and q are false, then p ˄ q = `square` ˄ `square` = `square`


If (p ∧ ~ q) → ~ p is false, the truth values of p and q are respectively.


If p ↔ (~ p → q) is false, then the truth values of p and q are respectively ______.


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