Sets
ICSE · Class 8 · Mathematics
Quick revision notes for Sets — ICSE Class 8 Mathematics. Key concepts, formulas, and definitions for last-minute revision.
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Key Topics to Revise
1. Basic Ideas and Representation of Sets
- A set is a collection of well-defined objects.
- The objects in a set are called elements or members.
- Sets are usually represented by capital letters such as A, B, C, N, W, and Z.
2. Types of Sets
- A finite set has a limited number of elements.
- An infinite set has no ending number of elements.
- A singleton or unit set has only one element.
3. Subsets and Proper Subsets
- If every element of A belongs to B, then A is a subset of B.
- Every set is a subset of itself.
- The empty set is a subset of every set.
4. Universal Set and Complement
- The universal set contains all the sets under consideration as subsets.
- The universal set is denoted by ξ or U.
- The choice of a universal set is not unique.
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