मराठी

Find Out the Sentence Are Statement and Are Not. Justify Your Answer.(Iii) Two Non-empty Sets Have Always a Non-empty Intersection. - Mathematics

Advertisements
Advertisements

प्रश्न

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

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

उत्तर

Two non-empty sets have always a non-empty intersection.
It is a false assertive sentence. Two non-empty sets with no common elements can have an empty intersection. Therefore, it is a statement.

shaalaa.com
  या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?
पाठ 31: Mathematical reasoning - Exercise 31.1 [पृष्ठ ३]

APPEARS IN

आरडी शर्मा Mathematics [English] Class 11
पाठ 31 Mathematical reasoning
Exercise 31.1 | Q 1.03 | पृष्ठ ३

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


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.

 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.

 x2 + 5 | x | + 6 = 0 has no real roots.


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


Write the negation of the statement:

 The earth is round.


All birds sing.


 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 earth is round or the sun is cold.


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

A lady gives birth to a baby boy or a baby girl.


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:

 To enter into a public library children need an identity card from the school or a letter from the school authorities.


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.


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

There is traffic jam whenever it rains.


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

 It rains only if it is cold.


Check the validity of the statement:

 p : 100 is a multiple of 4 and 5.


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.


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

2 is a positive number or a negative number.


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


Write the negation of the following statements:
r: A triangle has four sides.


Which of the following sentences are statements? Justify

15 + 8 > 23


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.

Plants use sunlight, water and carbon dioxide for photosynthesis.


Find the component statements of the following compound statements.

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


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.


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


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 a prime number is not prime.


Rewrite the following statements in the form of conditional statements

2b = a + c, if a, b and c are in A.P.


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


Which of the following is the conditional p → q?


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×