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Example 11 - Chapter 1 Class 11 Sets
Last updated at Dec. 16, 2024 by Teachoo
Chapter 1 Class 11 Sets
Concept wise
- Depiction and Definition
- Depicition of sets - Roster form
- Depicition of sets - Set builder form
- Intervals
- Null Set
- Finite/Infinite
- Equal sets
-
Subset
- Power Set
- Universal Set
- Venn Diagram and Union of Set
- Intersection of Sets
- Difference of sets
- Complement of set
- Number of elements in set - 2 sets (Direct)
- Number of elements in set - 2 sets - (Using properties)
- Number of elements in set - 3 sets
- Proof - Using properties of sets
- Proof - where properties of sets cant be applied,using element
Transcript
Example 11 Let A, B and C be three sets. If A ∈ B and B ⊂ C, is it true that A ⊂ C?. If not, give an example. Given: A, B, C are three sets A ∈ B and B ⊂ A To show: A ⊂ C or not? Proof: We will prove this with the help of an example. Let A = {1} B = {{1}, 2, 3} C = {{1}, 2, 3, 4, 5} Here, A ∈ B as set A is an element of set B Also, B ⊂ C as C contains all elements of B But A ⊄ C because 1 ∈ A but 1 ∉ C
