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Write of the Statement in the Form "If P, Then Q". It is Necessary to Have a Passport to Log on to the Server.

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प्रश्न

Write of the statement in the form "if p, then q". 

 It is necessary to have a passport to log on to the server.

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उत्तर

 If you want to log on to the server, then you need a passport.

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संबंधित प्रश्‍न

Find out the sentence are statement and are not. Justify your answer.

 Every set is a finite set.


Find out the sentence are statement and are not. Justify your answer.

 This sentence is a statement.


Find out the sentence are statement and are not. Justify your answer.

The product of (−1) and 8 is 8.

 

Write the negation of the statement:

 It rained on July 4, 2005.


There is a complex number which is not a real number.


Write the negation of the statement:

q : For every real number x, either x > 1 or x < 1.


Write the negation of the statement:

r : There exists a number x such that 0 < x < 1.

 

For statement, determine whether an inclusive "OR" or exclusive "OR" is used. Give reasons for your answer.

 Students can take Hindi or Sanskrit as their third language.


Write the component statement of the compound statement and check whether the compound statement is true or false:

 Square of an integer is positive or negative.i


Determine whether the compound statement are true or false: 

 Delhi is in India and 2 + 2 = 5.


Determine whether the compound statement are true or false: 

Delhi is in England and 2 + 2 =5.

 

Write the negation of  statement:

For every x ϵ Nx + 3 < 10


 statement are true and false? In each case give a valid reason for saying so

 t :  \[\sqrt{11}\]  is a rational number. 

 

 


Write the truth value of the following statements.
(i) 9 is an even integer or 9 + 1 is even.
(ii) 2 + 4 = 6 or 2 + 4 = 7
(iii) Delhi is the capital of India and Islamabad is the capital of Pakistan.
(iv) Every rectangle is a square and every square is a rectangle
(v) The sun is a star or sun is a planet.


Translate the following biconditional into symbolic form:
“ABC is an equilateral triangle if and only if its each interior angle is 60°”


Check the validity of the statements:
r: 100 is a multiple of 4 and 5.


The negation of the statement “It is raining and weather is cold.” is ______.


Which of the following sentences are statements? Justify

0 is a complex number.


Which of the following sentences are statements? Justify

Sky is red.


Which of the following sentences are statements? Justify

Where is your bag?


Which of the following sentences are statements? Justify

Every square is a rectangle.


Find the component statements of the following compound statements.

Two lines in a plane either intersect at one point or they are parallel.


Write the component statements of the following compound statements and check whether the compound statement is true or false.

57 is divisible by 2 or 3.


Translate the following statements into symbolic form

2, 3 and 6 are factors of 12


Translate the following statements into symbolic form

A number is either divisible by 2 or 3.


Translate the following statements into symbolic form

Either x = 2 or x = 3 is a root of 3x 2 – x – 10 = 0


Write down the negation of following compound statements

x = 2 and x = 3 are roots of the Quadratic equation x2 – 5x + 6 = 0.


Write down the negation of following compound statements

A triangle has either 3-sides or 4-sides.


Write down the negation of following compound statements

6 is divisible by 2 and 3.


Rewrite the following statements in the form of conditional statements

The unit digit of an integer is 0 or 5 if it is divisible by 5.


Form the biconditional statement p ↔ q, where
p: A natural number n is odd.
q: Natural number n is not divisible by 2.


Form the biconditional statement p ↔ q, where
p: A triangle is an equilateral triangle.
q: All three sides of a triangle are equal.


Identify the Quantifiers in the following statements.

For all negative integers x, x 3 is also a negative integers.


The connective in the statement “2 + 7 > 9 or 2 + 7 < 9” is ______.


The negation of the statement “A circle is an ellipse” is ______.


The negation of the statement “7 is greater than 8” is ______.


The negation of the statement “Plants take in CO2 and give out O2 ” is ______.


State whether the following sentences are statements are not.
(i) The angles opposite to equal sides of a triangle are equal.
(ii) The moon is a satellite of earth.
(iii) May God bless you!
(iv) Asia is a continent.
(v) How are you?


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