Sets
Telangana Board · Class 10 · Mathematics
Quick revision notes for Sets — Telangana Board Class 10 Mathematics. Key concepts, formulas, and definitions for last-minute revision.
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Key Topics to Revise
1. Basics of Sets and Ways of Writing Them
- A set is a well-defined collection of distinct objects. The objects in a set are called elements.
- Sets are generally denoted by capital letters of the English alphabet.
- Roster form lists all elements inside braces. In roster form, order is immaterial.
2. Empty Set, Universal Set, and Subsets
- The empty set is a set with no elements.
- The empty set is denoted by φ or { }.
- φ and {0} are different sets.
3. Equal Sets
- Two sets are equal if every element in one set belongs to the other and vice versa.
- If A = C, then A and C have exactly the same elements.
- The order of elements does not affect equality.
4. Union, Intersection, and Difference of Sets
- Union combines all elements that belong to A or B.
- If B ⊂ A, then A ∪ B = A.
- Intersection contains only common elements.
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