मराठी

Let a = { ϕ , { ϕ } , 1 , { 1 , ϕ } , 2 } Which of the Following Are True? { 2 { 1 } } ⊄ a

Advertisements
Advertisements

प्रश्न

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

 

Advertisements

उत्तर

 True 

shaalaa.com
  या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?
पाठ 1: Sets - Exercise 1.04 [पृष्ठ १७]

APPEARS IN

आर.डी. शर्मा Mathematics [English] Class 11
पाठ 1 Sets
Exercise 1.04 | Q 8.6 | पृष्ठ १७

व्हिडिओ ट्यूटोरियलVIEW ALL [1]

संबंधित प्रश्‍न

Identify whether the following set is finite or infinite.

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


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 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 ∈ N : x > 5}


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. 

 {a, b, c} 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: 

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


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: 

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


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 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.


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 = {a, b, {c, d}, e}. Which of the following statement are false and why? 

\[a \subset A\]


Let A = {a, b, {c, d}, e}. Which of the following statement are false and why?

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


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 subsets of the first set is 112 more than that of the second. The values of m and n are respectively


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×