English

Which of the following statements are compound statements “Ram and Rahim are friends” - Mathematics

Advertisements
Advertisements

Question

Which of the following statements are compound statements 

“Ram and Rahim are friends”

Sum
Advertisements

Solution

The given statement can not be broken into two simple statements and hence it is not a compound statement.

shaalaa.com
  Is there an error in this question or solution?
Chapter 14: Mathematical Reasoning - Solved Examples [Page 254]

APPEARS IN

NCERT Exemplar Mathematics [English] Class 11
Chapter 14 Mathematical Reasoning
Solved Examples | Q 1.(iii) | Page 254

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.


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

 Are all circles round?


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

 x2 + 5 | x | + 6 = 0 has no real roots.


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

 The real number x is less than 2.


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

There are 35 days in a month.


Are the pair of statement are negation of each other:

 The number x is not a rational number.
The number is an irrational number.


Check whether the following pair of statements are negation of each other. Give reasons for your answer.
a + b = b + a is true for every real number a and b.
 There exist real numbers a and b for which a + b = b + a.


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.


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

 x = 2 and x = 3 are the roots or the equation 3x2 − x − 10 = 0.


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


Write the negation of  statement:

 There exists x ϵ Nx + 3 = 10

 

Negate  statement:
 All the students completed their homework.


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

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

 


 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.


Rewrite the following statements in the form of conditional statements:

Ramesh will get dessert only if he eats his dinner.


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.


Identify the quantifiers and write the negation of the following statements:
There exists a number which is equal to its square.


Check the validity of the statements:
s: 60 is a multiple of 3 or 5.


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


Which of the following sentences are statements? Justify

A triangle has three sides.


Which of the following sentences are statements? Justify

y + 9 = 7.


Find the component statements of the following compound statements.

Chennai is in India and is the capital of Tamil Nadu.


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

Rahul passed in Hindi and English.


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

All real numbers are rationals or irrationals.


Write down the negation of following compound statements

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


Form the biconditional statement p ↔ q, where
p: The unit digit of an integer is zero.
q: It is divisible by 5.


Identify the Quantifiers in the following statements.

There exists a real number which is not a rational number.


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.


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


The negation of the statement “Rajesh or Rajni lived in Bangalore” is ______.


Which of the following is the conditional p → q?


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×