Check sibling questions

Example 9 - Consider phi, A = {1,3}, B = {1,5,9}, C = {1,3,5,7,9}

Example 9 - Chapter 1 Class 11 Sets - Part 2

Example 9 - Chapter 1 Class 11 Sets - Part 3

Example 9 - Chapter 1 Class 11 Sets - Part 4


Transcript

Example 9 Consider the sets φ, A = { 1, 3 }, B = {1, 5, 9}, C = {1, 3, 5, 7, 9}. Insert the symbol ⊂ or ⊄ between each of the following pair of sets: φ . . . B Null set is a subset of every set So, φ is a subset of every set. ∴ φ ⊂ B ⊂ - is a subset ⊄ - is not a subset Example 9 Consider the sets φ, A = { 1, 3 }, B = {1, 5, 9}, C = {1, 3, 5, 7, 9}. Insert the symbol ⊂ or ⊄ between each of the following pair of sets: (ii) A . . . B 3 is in set A but not in set B i.e. 3 ∈ A but 3 ∉ B. So, A is not a subset of B ∴ A ⊄ B ⊂ - is a subset ⊄ - is not a subset A ⊂ B if all elements of A are in B Example 9 Consider the sets φ, A = { 1, 3 }, B = {1, 5, 9}, C = {1, 3, 5, 7, 9}. Insert the symbol ⊂ or ⊄ between each of the following pair of sets: (iii) A . . . C 1 & 3 are in set A and 1 & 3 are also in set C So, all elements of set A is in set C So, A is a subset of C ∴ A ⊂ C ⊂ - is a subset ⊄ - is not a subset A ⊂ B if all elements of A are in B Example 9 Consider the sets φ, A = { 1, 3 }, B = {1, 5, 9}, C = {1, 3, 5, 7, 9}. Insert the symbol ⊂ or ⊄ between each of the following pair of sets: (iv) B . . . C Element 1 , 5, 9 are in set B, and are also in set C So, all elements of set B are in set C So, B is a subset of C ∴ B ⊂ C ⊂ - is a subset ⊄ - is not a subset A ⊂ B if all elements of A are in B

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Davneet Singh

Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 12 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.