मराठी

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

Advertisements
Advertisements

प्रश्न

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

बेरीज
Advertisements

उत्तर

The biconditional p ↔ q is given by

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

shaalaa.com
  या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?
पाठ 14: Mathematical Reasoning - Solved Examples [पृष्ठ २५९]

APPEARS IN

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

व्हिडिओ ट्यूटोरियलVIEW ALL [1]

संबंधित प्रश्‍न

Show that the statement

p: “If x is a real number such that x3 + 4= 0, then x is 0” is true by

(i) direct method

(ii) method of contradiction

(iii) method of contrapositive


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.


Find out the following  sentence is a statement and is not. Justify your answer.

Listen to me, Ravi !


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

Two non-empty sets have always a non-empty intersection.


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

 All triangles have three sides.


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.


Give three examples of sentences which are not statements. Give reasons for the answers.


Write the negation of the statement:

 It rained on July 4, 2005.


Write the negation of the statement:

 The sun is cold.

 

 Both the diagonals of a rectangle have the same length.


For statement, determine whether an inclusive "OR" or exclusive "OR" is used. Give reasons for your answer.

 To apply for a driving licence, you should have a ration card or a passport.

 

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.


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 have a passport to log on to the server.


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

 It never rains when it is cold.

 

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

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


Translate the following statements in symbolic form

Tigers are found in Gir forest or Rajaji national park.


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


Rewrite the following statements in the form of conditional statements:

Mohan will be a good student if he studies hard.


Which of the following sentences are statements? Justify

Every square is a rectangle.


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.

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.

All living things have two eyes and two legs.


Translate the following statements into symbolic form

x and y are even integers.


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.


Write down the negation of following compound statements

All real numbers are rationals or irrationals.


Write down the negation of following compound statements

35 is a prime number or a composite number


Rewrite the following statements in the form of conditional statements

The square of an odd number is odd.


Rewrite the following statements in the form of conditional statements

The square of a prime number is not prime.


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 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 “72 is divisible by 2 and 3” is ______.


The negation of the statement “Plants take in CO2 and give out O2 ” is ______.


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


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×