हिंदी

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. - Mathematics

Advertisements
Advertisements

प्रश्न

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. 

उत्तर

True
We have:
= {x:x is a letter of the word LITTLE} = {L, I, T, E}
B = {x:x is a letter of the word TITLE} = {T, I, L, E}
Sets A & B are equal because every element of A is a member of B & every element of Bis a member of A.

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 4.6 | 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.


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 lines which are parallel to the x-axis.


State whether the following set is finite or infinite:

The set of numbers which are multiple of 5.


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).


Find sets A, B and C such that A ∩ B, B ∩ C and A ∩ C are non-empty sets and A ∩ B ∩ C = Φ.


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?

{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. 

{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 


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:

The set {x ; x + 8 = 8} is the null set. 


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 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 rectangle is contained in the set of all squares.


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

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


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

 


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 ______.


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×