हिंदी

Identify the component statements and the connective in the following compound statements. It is raining or the sun is shining. - Mathematics

Advertisements
Advertisements

प्रश्न

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

It is raining or the sun is shining.

योग

उत्तर

The component statements are given by

p: It is raining

q: The sun is shining

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.(a) | पृष्ठ २५५

वीडियो ट्यूटोरियलVIEW ALL [1]

संबंधित प्रश्न

Show that the following statement is true by the method of contrapositive.

pIf x is an integer and x2 is even, then x is also even.


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.

The cat pussy is black.


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

 This sentence is a statement.


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.


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


 Both the diagonals of a rectangle have the same length.


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


Negate  statement:
 All the students completed their homework.


Negate of the  statement :

There exists a number which is equal to its square.

 

 


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

 It is necessary to be rich in order to be happy.


Check the validity of the statement:

 r : 60 is a multiple of 3 or 5.

 

Which of the following statements are compound statements 

“Ram and Rahim are friends”


Write negation of the statement
“Everyone who lives in India is an Indian”


Write the negation of the following statements:
p: All triangles are equilateral triangles.


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.


Translate the following biconditional into symbolic form:
“ABC is an equilateral triangle if and only if its each interior angle is 60°”


Which of the following sentences are statements? Justify

15 + 8 > 23


Which of the following sentences are statements? Justify

sin2x + cos2x = 0


Find the component statements of the following compound statements.

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


Find the component statements of the following compound statements.

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


Find the component statements of the following compound statements.

A rectangle is a quadrilateral or a 5-sided polygon.


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

All living things have two eyes and two legs.


Translate the following statements into symbolic form

Either x or x + 1 is an odd integer.


Identify the Quantifiers in the following statements.

There exists a triangle which is not an isosceles triangle.


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


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


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


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×