मराठी

Which of the Following Statements Are True? Give Reason to Support Your Answer. Every Set Has a Proper Subset - Mathematics

Advertisements
Advertisements

प्रश्न

Which of the following statements are true? Give reason to support your answer. 

Every set has a proper subset

उत्तर

\[\text{ False }\]
\[\phi \text{ does not have a proper subset } .\]

 

shaalaa.com
  या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?
पाठ 1: Sets - Exercise 1.04 [पृष्ठ १६]

APPEARS IN

आरडी शर्मा Mathematics [English] Class 11
पाठ 1 Sets
Exercise 1.04 | Q 1.4 | पृष्ठ १६

व्हिडिओ ट्यूटोरियलVIEW ALL [1]

संबंधित प्रश्‍न

Identify whether the following set is finite or infinite.

{1, 2, 3, ...}


Identify whether the following set is finite or infinite.

{1, 2, 3, ... 99, 100}


Identify whether the following set is finite or infinite.

The set of prime numbers less than 99.


State whether the following set is finite or infinite:

The set of letters in the English alphabet.


State whether the following set is finite or infinite:

The set of animals living on the earth.


State whether the following set is finite or infinite:

The set of circles passing through the origin (0, 0).


Which of the following sets are finite and which are infinite? 

 Set of letters of the English Alphabets 


Which of the following sets are finite and which are infinite? 

{x ∈ N : x > 5}


Which of the following sets are finite and which are infinite? 

 {x = ∈ N : x < 200}


Which of the following sets are finite and which are infinite?

{x ∈ Z : x < 5}; 


Which of the following sets are finite and which are infinite? 

 {x ∈ R : 0 < x < 1}.


Which of the following statements are true? Give reason to support your answer. 

Every subset of a finite set is finite


Which of the following statements are true? Give reason to support your answer. 

{ababab, ...} is an infinite set


Which of the following statements are true? Give reason to support your answer. 

 {abc} and {1, 2, 3} are equivalent sets 


State whether the following statements are true or false: 

\[1 \in \left\{ 1, 2, 3 \right\}\]


State whether the following statements are true or false: 

\[a \subset {b, c, a}\] 


Write which of the following statements are true? Justify your answer. 

The set of all integers is contained in the set of all set of all rational numbers. 


Write which of the following statement are true? Justify your answer. 

The set of all crows is contained in the set of all birds. 


Write which of the following statement are true? Justify your answer.

The sets P = {a} and B = {{a}} are equal.


Write which of the following statement are true? Justify your answer. 

The sets A = {x : x is a letter of the word "LITTLE"} and,B = {x : x is a letter of the word "TITLE"} are equal. 


Let A = {ab, {cd}, e}. Which of the following statement are false and why?

\[\left\{ a, b, e \right\} \subset A\] 


Let \[A = \left\{ \phi, \left\{ \phi \right\}, 1, \left\{ 1, \phi \right\}, 2 \right\}\]Which of the following are true?\[\left\{ 2 \left\{ 1 \right\} \right\} \not\subset A\] 

 


Write down all possible subsets of each of the following set:

\[\left\{ \phi \right\}\]

 

 

 


Suppose \[A_1 , A_2 , . . . , A_{30}\] are thirty sets each having 5 elements and \[B_1 , B_2 , . . . , B_n\] are n sets each with 3 elements. Let \[\cup^{30}_{i = 1} A_i = \cup^n_{j = 1} B_j = S\] and each element of S belong to exactly 10 of the \[A_i 's\]and exactly 9 of the\[B_j 's\] then n is equal to 


Two finite sets have m and n elements. The number of subsets of the first set is 112 more than that of the second. The values of m and n are respectively


Two finite sets have m and n elements respectively. The total number of subsets of first set is 56 more than the total number of subsets of the second set. The values of m and n respectively are ______.


If A and B are two finite sets, then n(A) + n(B) is equal to ______.


If A is a finite set containing n element, then number of subsets of A is ______.


Two finite sets have m and n elements. The number of subsets of the first set is 112 more than that of the second set. The values of m and n are, respectively ______.


If A and B are finite sets such that A ⊂ B, then n (A ∪ B) = ______.


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×