मराठी

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. 

Advertisements

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
  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 4.6 | पृष्ठ १६

व्हिडिओ ट्यूटोरियलVIEW ALL [1]

संबंधित प्रश्‍न

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 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? 

 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 ∈ 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 set has a proper subset


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: 

\[a \subset {b, c, a}\] 


State whether the following statements are true or false: 

\[\left\{ a \right\} \in \left\{ a, b, c \right\}\]


State whether the following statements are true or false: 

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


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 crows is contained in the set of all birds. 


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.

 


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

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


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?\[\left\{ 2 \left\{ 1 \right\} \right\} \not\subset A\] 

 


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

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

 

 

 


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: 


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


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 ______.


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


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×