हिंदी

Identify the component statements and the connective in the following compound statements. 2 is a positive number or a negative number.

Advertisements
Advertisements

प्रश्न

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

2 is a positive number or a negative number.

योग
Advertisements

उत्तर

The component statements are given by

p: 2 is a positive number

q: 2 is a negative number

The connective is ‘or’

shaalaa.com
  क्या इस प्रश्न या उत्तर में कोई त्रुटि है?
अध्याय 14: Mathematical Reasoning - Solved Examples [पृष्ठ २५५]

APPEARS IN

एनसीईआरटी एक्झांप्लर Mathematics [English] Class 11
अध्याय 14 Mathematical Reasoning
Solved Examples | Q 2.(b) | पृष्ठ २५५

वीडियो ट्यूटोरियलVIEW ALL [1]

संबंधित प्रश्न

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

p: If all the angles of a triangle are equal, then the triangle is an obtuse angled triangle.


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.

Is the earth round?


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.

 Mathematics is difficult.


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

All real numbers are complex numbers.


Write the negation of the statement:

 The sun is cold.

 

 Some even integers are prime.


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


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:

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:

 Square of an integer is positive or negative.i


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 the negation of  statement:

For every x ϵ Nx + 3 < 10


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

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


Check the validity of the statement:

q : 125 is a multiple of 5 and 7.


 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.


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

 s : If x and y are integers such that x > y, then − x < − y.


Identify the quantifiers and write the negation of the following statements:
There exists a number which is a multiple of 6 and 9.


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


Which of the following is a statement?


Which of the following sentences are statements? Justify

0 is a complex number.


Which of the following sentences are statements? Justify

Where is your bag?


Find the component statements of the following compound statements.

Number 7 is prime and odd.


Find the component statements of the following compound statements.

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


Translate the following statements into symbolic form

x and y are even integers.


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.


Write down the negation of following compound statements

|x| is equal to either x or – x.


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.

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


Identify the Quantifiers in the following statements.

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


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


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


Which of the following is not a negation of “A natural number is greater than zero”?


Which of the following statement is a conjunction?


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×