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महाराष्ट्र राज्य शिक्षण मंडळएचएससी विज्ञान (सामान्य) इयत्ता १२ वी

State the truth Value of x2 = 25 - Mathematics and Statistics

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प्रश्न

State the truth Value of x2 = 25

एका वाक्यात उत्तर

उत्तर

`x^2 =25` is an open sentence.

It is not a statement in logic.

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पाठ 1.1: Mathematical Logic - Very Short Answers

व्हिडिओ ट्यूटोरियलVIEW ALL [1]

संबंधित प्रश्‍न

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


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

x – 3 = 14


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

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

Congruent triangles are similar.


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

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

The sunsets in the west


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

All real numbers are whole numbers.


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

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

x2 – 6x – 7 = 0, when x = 7


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

It rains heavily.


Write the truth values of the following.

64 is a perfect square and 46 is a prime number.


Write the truth values of the following.

5 is a prime number and 7 divides 94.


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:

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


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:

π is an irrational number.


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.


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

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

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

If x is a whole number then x + 6 = 0.


`sqrt5` is an irrational but `3sqrt5` is a complex number.


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


Write the truth value of the following statement:

∀ n ∈ N, n + 6 > 8.


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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.

Have a cup of cappuccino.


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

(x + y)2 = x2 + 2xy + y2 for all x, y ∈ R. 


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 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.

The number of arrangements of 7 girls in a row for a photograph is 7!.


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

Give me a compass box.


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

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Choose the correct alternative :

Which of the following is an open statement?


Choose the correct alternative :

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p : 2 is an even number.
q : 2 is a prime number.
r : Sum of two prime numbers is always even.
Then, the symbolic statement (p ∧ q) → ∼ r means.


Choose the correct alternative :

If p : He is intelligent.
q : He is strong
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Choose the correct alternative :

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Choose the correct alternative :

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


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If p ∨ q is true then truth value of ∼ p ∨ ∼ q is ______.


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p ↔ q is false when p and q have ––––––––– truth values.


Fill in the blanks :

Let p : the problem is easy. r : It is not challenging then verbal form of ∼ p → r is –––––––––.


State whether the following statement is True or False :

Truth value of 2 + 3 < 6 is F.


State whether the following statement is True or False :

There are 24 months in year is a statement.


State whether the following statement is True or False :

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Solve the following :

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Solve the following :

State which of the following sentences are statements in logic.
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State which of the following sentences are statements in logic.
(a + b)2 = a2 + 2ab + b2 for all a, b ∈ R.


Solve the following :

State which of the following sentences are statements in logic.
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Solve the following :

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


Solve the following :

State which of the following sentences are statements in logic.
What a horrible sight it was!


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

The square of every real number is positive.


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.


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

Please carry out my instruction.


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

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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.

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Assuming the following statement.
p : Stock prices are high.
q : Stocks are rising.
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p : Stock prices are high.
q : Stocks are rising.
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∼ [(p → q) ↔ (p ∧ ∼ q)]


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~ p ∧ (q ∨ ~ r)


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Mathematical identities are true statements


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p ˄ q

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p ˄ q

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Statement q:

The angles A, B, C and D of any quadrilateral ABCD satisfy the equation `cos(1/2(A + C)) + cos(1/2(B + D))` = 0

Then the truth values of p and q are respectively.


The position vector of points A and B are `6bar(a) + 2bar(b) and bar(a) -3bar(b)` . If the point C divides AB in the ratio 3 : 2 then show that the position vector of C is 3`bar(a)- bar(b)`.


lf p, q are true statements and r, s are false statements, then find the truth value of ∼ (p ∧ ∼r) ∨ (∼q ∨ s).


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