मराठी

Determine Whether the Compound Statement Are True Or False: Delhi is in England and 2 + 2 =5. - Mathematics

Advertisements
Advertisements

प्रश्न

Determine whether the compound statement are true or false: 

Delhi is in England and 2 + 2 =5.

 
Advertisements

उत्तर

False
Both the component statements are false. Therefore, the compound statement is false.

shaalaa.com
  या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?
पाठ 31: Mathematical reasoning - Exercise 31.3 [पृष्ठ १४]

APPEARS IN

आरडी शर्मा Mathematics [English] Class 11
पाठ 31 Mathematical reasoning
Exercise 31.3 | Q 4.4 | पृष्ठ १४

व्हिडिओ ट्यूटोरियलVIEW ALL [1]

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.

There are 35 days in a month.


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

All real numbers are complex numbers.


Write the negation of the statement:

 Ravish is honest.


Write the negation of the statement:

 The sun is cold.

 

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


Write the negation of the statement:

 p : For every positive real number x, the number (x − 1) is also positive.

 


Write the negation of the statement:

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

 

Find the component statement of the compound statement:

 25 is a multiple of 5 and 8.

 

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

There is traffic jam whenever it rains.


Check the validity of the statement:

 r : 60 is a multiple of 3 or 5.

 

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

r : Circle is a particular case of an ellipse.


Which of the following statements are compound statements 

“Ram and Rahim are friends”


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:

Mohan will be a good student if he studies hard.


Rewrite the following statements in the form of conditional statements:

When you sing, my ears hurt.


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.


Form the biconditional of the following statements :
p: Today is 14th of August
q: Tomorrow is Independence day


Which of the following sentences are statements? Justify

15 + 8 > 23


Which of the following sentences are statements? Justify

Where is your bag?


Find the component statements of the following compound statements.

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


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

2 is an even number and a prime number.


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 rational numbers are real and complex.


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.

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


Identify the Quantifiers in the following statements.

For all real numbers x with x > 3, x 2 is greater than 9.


Identify the Quantifiers in the following statements.

There exists a triangle which is not an isosceles triangle.


Identify the Quantifiers in the following statements.

There exists a even prime number other than 2.


Identify the Quantifiers in the following statements.

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


The connective in the statement “Earth revolves round the Sun and Moon is a satellite of earth” is ______.


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


The negation of the statement “The product of 3 and 4 is 9” is ______.


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×