Set Concepts
ICSE · Class 7 · Mathematics
Summary of Set Concepts for ICSE Class 7 Mathematics. Key concepts, important points, and chapter overview.
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Overview
Set concepts describe how objects are grouped, named, compared, and operated upon in mathematics. A set is a collection of well-defined objects, things or symbols. The chapter builds the foundation for understanding set notation, types of sets, subsets, universal sets, and basic operations such as u
Key Concepts
A set is a collection
A set is a collection of well-defined objects, things or symbols. The objects in a set are called its elements or members. Well-defined means it is al
Sets are usually written with capital
Sets are usually written with capital letters and curly brackets. A set can be shown in description form, roster form, or set-builder form. In roster
The symbol ∈ means belongs
The symbol ∈ means belongs to or is an element of. The symbol ¢ means does not belong to or is not an element of. For example, 3 ∈ P means 3 is an ele
The elements in a set can
The elements in a set can be written in any order, and repeated elements are written only once. For example, the letters of crook are written as {c, r
The cardinal number of a set
The cardinal number of a set is the number of elements in it. If a set has 5 elements, then its cardinal number is 5, written as n(A)=5. The empty set
Learning Objectives
- Define a set and identify well-defined collections
- Recognize elements and write sets in roster and set-builder form
- Find the cardinal number of a set
- Classify sets as finite, infinite, empty, disjoint, joint, equal, or equivalent
- Use subset, proper subset, superset, and universal set correctly
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