English

Write down the negation of following compound statements 35 is a prime number or a composite number - Mathematics

Advertisements
Advertisements

Question

Write down the negation of following compound statements

35 is a prime number or a composite number

Sum

Solution

p: 35 is a prime number.

q: 35 is a composite number.

The negation of the above statements is

~ (p ∨ q) = (~ p ∧ ~ q): 35 is not a prime number and it is not a composite number.

shaalaa.com
  Is there an error in this question or solution?
Chapter 14: Mathematical Reasoning - Exercise [Page 263]

APPEARS IN

NCERT Exemplar Mathematics [English] Class 11
Chapter 14 Mathematical Reasoning
Exercise | Q 6.(v) | Page 263

Video TutorialsVIEW ALL [1]

RELATED QUESTIONS

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

 Go !


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.

The product of (−1) and 8 is 8.

 

 Some even integers are prime.


 I will not go to school.


Are the pair of statement are negation of each other:
The number is not a rational number.
The number x is not an irrational number.


Find the component statement of the compound statement:

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


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:

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


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

 It rains only if it is cold.


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

 It never rains when it is cold.

 

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

 p : Each radius of a circle is a chord of the circle.


Determine whether the argument used to check the validity of the following statement is correct:
p : "If x2 is irrational, then x is rational"
The statement is true because the number x2 = π2 is irrational, therefore x = π is irrational.


Identify the component statements and the connective in the following compound statements.

It is raining or the sun is shining.


Translate the following statements in symbolic form

2 and 3 are prime numbers 


Rewrite the following statements in the form of conditional statements:

A necessary condition for Indian team to win a cricket match is that the selection committee selects an all-rounder.


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.


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


Which of the following sentences are statements? Justify

Sky is red.


Which of the following sentences are statements? Justify

Every set is an infinite set.


Find the component statements of the following compound statements.

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


Find the component statements of the following compound statements.

0 is less than every positive integer and every negative integer.


Find the component statements of the following compound statements.

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


Translate the following statements into symbolic form

Either x or x + 1 is an odd integer.


Write down the negation of following compound statements

All rational numbers are real and complex.


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.

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


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


The negation of the statement “72 is divisible by 2 and 3” is ______.


The negation of the statement “101 is not a multiple of 3” is ______.


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×