मराठी

Determine Whether the Compound Statement Are True Or False: Delhi is in England and 2 + 2 = 4. - Mathematics

Advertisements
Advertisements

प्रश्न

Determine whether the compound statement are true or false:

 Delhi is in England and 2 + 2 = 4.
 

चूक किंवा बरोबर

उत्तर

 False
The first component statement "Delhi is in England" is false. Since the connective is "and" and one component statement is false, 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 4.2 | पृष्ठ १४

व्हिडिओ ट्यूटोरियलVIEW ALL [1]

संबंधित प्रश्‍न

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.

Every rhombus is a square.


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

 Go !


 I will not go to school.


 Both the diagonals of a rectangle have the same length.


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:

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

 


Write the negation of the statement:

q : For every real number x, either x > 1 or x < 1.


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:
 The sky is blue and the grass is green.


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  statement:
 All the students completed their homework.


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.


Which of the following statements are compound statements 

“2 is both an even number and a prime number”


Write the truth value of the following statements.
(i) 9 is an even integer or 9 + 1 is even.
(ii) 2 + 4 = 6 or 2 + 4 = 7
(iii) Delhi is the capital of India and Islamabad is the capital of Pakistan.
(iv) Every rectangle is a square and every square is a rectangle
(v) The sun is a star or sun is a planet.


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


Which of the following sentences are statements? Justify

A triangle has three sides.


Which of the following sentences are statements? Justify

Sky is red.


Which of the following sentences are statements? Justify

Sum of opposite angles of a cyclic quadrilateral is 180°.


Find the component statements of the following compound statements.

Chandigarh is the capital of Haryana and U.P.


Find the component statements of the following compound statements.

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


Find the component statements of the following compound statements.

Plants use sunlight, water and carbon dioxide for photosynthesis.


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.

24 is a multiple of 4 and 6.


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.


Write down the negation of following compound statements

All prime integers are either even or odd.


Write down the negation of following compound statements

|x| is equal to either x or – x.


Rewrite the following statements in the form of conditional statements

You will get a sweet dish after the dinner.


Rewrite the following statements in the form of conditional statements

The square of a prime number is not prime.


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


The negation of the statement “Rajesh or Rajni lived in Bangalore” 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?


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×