हिंदी

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

Advertisements
Advertisements

प्रश्न

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

योग
Advertisements

उत्तर

The biconditional p ↔ q is given by

“Today is 14th of August if and only if tomorrow is Independence Day”.

shaalaa.com
  क्या इस प्रश्न या उत्तर में कोई त्रुटि है?
अध्याय 14: Mathematical Reasoning - Solved Examples [पृष्ठ २५९]

APPEARS IN

एनसीईआरटी एक्झांप्लर Mathematics [English] Class 11
अध्याय 14 Mathematical Reasoning
Solved Examples | Q 11 | पृष्ठ २५९

वीडियो ट्यूटोरियलVIEW ALL [1]

संबंधित प्रश्न

Show that the statement “For any real numbers a and ba2 = b2 implies that a = b” is not true by giving a counter-example.


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.


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.

 Every set is a finite set.


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

Every rhombus is a square.


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.

 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.

 

Write the negation of the statement:

 The sun is cold.

 

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.


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:

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


Find the component statement of the compound statement:

 25 is a multiple of 5 and 8.

 

Determine whether the compound statement are true or false:

 Delhi is in England and 2 + 2 = 4.
 


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

There is traffic jam whenever it rains.


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

 t :  \[\sqrt{11}\]  is a rational number. 

 

 


Which of the following statements are compound statements 

“9 is neither an even number nor a prime number”


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.


Write the negation of the following statements:
Suresh lives in Bhopal or he lives in Mumbai.


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


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


Which of the following sentences are statements? Justify

Sky is red.


Which of the following sentences are statements? Justify

15 + 8 > 23


Which of the following sentences are statements? Justify

y + 9 = 7.


Find the component statements of the following compound statements.

Plants use sunlight, water and carbon dioxide for photosynthesis.


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.


Write down the negation of following compound statements

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


Write down the negation of following compound statements

A triangle has either 3-sides or 4-sides.


Rewrite the following statements in the form of conditional statements

The unit digit of an integer is 0 or 5 if it is divisible by 5.


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


Form the biconditional statement p ↔ q, where
p: A triangle is an equilateral triangle.
q: All three sides of a triangle are equal.


Identify the Quantifiers in the following statements.

There exists a triangle which is not an isosceles triangle.


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


State whether the following sentences are statements are not.
(i) The angles opposite to equal sides of a triangle are equal.
(ii) The moon is a satellite of earth.
(iii) May God bless you!
(iv) Asia is a continent.
(v) How are you?


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×