हिंदी

Which of the Following Statements Are True? Give Reason to Support Your Answer. {A, B, C} and {1, 2, 3} Are Equivalent Sets - Mathematics

Advertisements
Advertisements

प्रश्न

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

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

Advertisements

उत्तर

\[ \text{ True }\]
\[{a, b, c} \text{ and } {1, 2, 3} \text{ are equivalent sets because the number of elements in both the sets are same } .\]

shaalaa.com
  क्या इस प्रश्न या उत्तर में कोई त्रुटि है?
अध्याय 1: Sets - Exercise 1.04 [पृष्ठ १६]

APPEARS IN

आरडी शर्मा Mathematics [English] Class 11
अध्याय 1 Sets
Exercise 1.04 | Q 1.6 | पृष्ठ १६

वीडियो ट्यूटोरियलVIEW ALL [1]

संबंधित प्रश्न

Identify whether the following set is finite or infinite.

The set of months of a year


Identify whether the following set is finite or infinite.

{1, 2, 3, ...}


Identify whether the following set is finite or infinite.

The set of positive integers greater than 100.


State whether the following set is finite or infinite:

The set of lines which are parallel to the x-axis.


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.


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

Set of concentric circles in a plane


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 < 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.
(i) For any two sets A and B either \[A \subseteq B o\text{ or } B \subseteq A;\]


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

Every subset of an infinite set is infinite 


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. 

Every set has a proper subset


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

A set can have infinitely many subsets.


State whether the following statements are true or false: 

\[a \subset {b, c, a}\] 


State whether the following statements are true or false: 

\[\left\{ a, b \right\} = \left\{ a, a, b, b, a \right\}\] 


Decide among the following sets, which are subsets of which:

\[A = {x : x \text{ satisfies } x^2 - 8x + 12 = 0},\]

\[B = \left\{ 2, 4, 6 \right\}, C = \left\{ 2, 4, 6, 8, . . . \right\}, D = \left\{ 6 \right\} .\]


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 set of all rectangle is contained in the set of all squares.


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

 The set of all real numbers is contained in the set of all complex numbers.

 


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

\[a \subset A\]


Let \[A = \left\{ \phi, \left\{ \phi \right\}, 1, \left\{ 1, \phi \right\}, 2 \right\}\] Which of the following are true? \[\left\{ 1 \right\} \in A\]

 


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

 


Two finite sets have m and n elements. The number of elements in the power set of first set is 48 more than the total number of elements in power set of the second set. Then, the values of m and n are: 


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 


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×