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How do we describe sets? Learn how to define, write and describe sets using verbal description, roster-notation, set-builder notation.
Describing sets: define sets, set notations, subsets, proper subsets, Venn diagrams, set operations, vocabulary used in set theory, describe set in words, ways to describe a set, with video lessons, examples and step-by-step solutions.
In mathematics, a set is a collection of different [1] things; [2][3][4] these things are called elements or members of the set and are typically mathematical objects of any kind: numbers, symbols, points in space, lines, other geometrical shapes, variables, or even other sets. [5] . A set may have a finite number of elements or be an infinite set.
Definition of Sets. Sets are represented as a collection of well-defined objects or elements and it does not change from person to person. A set is represented by a capital letter. The number of elements in the finite set is known as the cardinal number of a set. What are the Elements of a Set. Let us take an example: A = {1, 2, 3, 4, 5 }
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One way to specify a set is to give a verbal description of its elements. This is known as the descriptive form of specification. The description must allow a concise determination of which elements belong to the set and which elements do not.
In Maths, sets are a collection of well-defined objects or elements. A set is represented by a capital letter symbol and the number of elements in the finite set is represented as the cardinal number of a set in a curly bracket {…}.
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A set is a collection of objects (without repetitions). To describe a set, either list all its elements explicitly, or use a descriptive method. Intervals are sets of real numbers. The elements in a set can be any type of object, including sets. We can even have a set containing dissimilar elements.