English

Determine Whether the Compound Statement Are True Or False:Delhi is in India and 2 + 2 = 4. - Mathematics

Advertisements
Advertisements

Question

Determine whether the compound statement are true or false:

 Delhi is in India and 2 + 2 = 4.
 

True or False
Advertisements

Solution

 True
Both component statements are true and the connective is "and".

shaalaa.com
  Is there an error in this question or solution?
Chapter 31: Mathematical reasoning - Exercise 31.3 [Page 14]

APPEARS IN

RD Sharma Mathematics [English] Class 11
Chapter 31 Mathematical reasoning
Exercise 31.3 | Q 4.1 | Page 14

Video TutorialsVIEW ALL [1]

RELATED QUESTIONS

By giving a counter example, show that the following statements are not true.

q: The equation x2 – 1 = 0 does not have a root lying between 0 and 2.


Write the negation of the statement:
Banglore is the capital of Karnataka.


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


All policemen are thieves.

 

Find the component statement of the compound statement:
 The sky is blue and the grass is green.


Find the component statement of the compound statement:

The earth is round or the sun is cold.


Find the component statement of the compound statement:

All rational numbers are real and all real numbers are complex.


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

A lady gives birth to a baby boy or a baby girl.


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

 To enter into a public library children need an identity card from the school or a letter from the school authorities.


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

All rational numbers are real and all real numbers are not complex.


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

The sand heats up quickly in the sun and does not cool down fast at night.

 

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

You can access the website only if you pay a subscription fee.

 


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

There is traffic jam whenever it rains.


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

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


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

 Whenever it rains it is cold.


Check the validity of the statement:

 p : 100 is a multiple of 4 and 5.


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

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

 

 


Translate the following statements in symbolic form

2 and 3 are prime numbers 


Rewrite the following statements in the form of conditional statements:

A sufficient condition for Tara to visit New Delhi is that she goes to the Rashtrapati Bhawan.


Express in English, the statement p → q, where
p: It is raining today
q: 2 + 3 > 4


Which of the following is a statement?


Which of the following sentences are statements? Justify

Every square is a rectangle.


Find the component statements of the following compound statements.

Number 7 is prime and odd.


Find the component statements of the following compound statements.

The number 100 is divisible by 3, 11 and 5.


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

24 is a multiple of 4 and 6.


Translate the following statements into symbolic form

2, 3 and 6 are factors of 12


Write down the negation of following compound statements

6 is divisible by 2 and 3.


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


Identify the Quantifiers in the following statements.

There exists a triangle which is not equilateral.


Identify the Quantifiers in the following statements.

For all real numbers x and y, xy = yx.


Identify the Quantifiers in the following statements.

For every natural number x, x + 1 is also a natural number.


Identify the Quantifiers in the following statements.

There exists a real number x such that x2 + 1 = 0.


Check the validity of the following statement.
p: 125 is divisible by 5 and 7.


Which of the following is a statement?


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


Which of the following statement is a conjunction?


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×