Symmetric Difference using Venn Diagram The symmetric difference using Venn diagram of two subsets A and B is a sub set of U, denoted by A △ B and is defined by A △ B = (A – B) ∪ (B – A) Let A and B are two sets. The symmetric difference of…
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Difference of Sets using Venn Diagram How to find the difference of sets using Venn diagram? The difference of two subsets A and B is a subset of U, denoted by A – B and is defined by A – B = {x : x ∈ A and x ∉ B}. Let A and…
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Disjoint of Sets using Venn Diagram Disjoint of sets using Venn diagram is shown by two non-overlapping closed regions and said inclusions are shown by showing one closed curve lying entirely within another. Two sets A and B are said to be disjoint, if they have no element in common. Thus, A = {1,…
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The intersection of Sets using Venn Diagram Learn how to represent the intersection of sets using Venn diagram. The intersection set operations can be visualized from the diagrammatic representation of sets. The rectangular region represents the universal set U and the circular regions the subsets A and B. The shaded portion represents the set…
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Union of Sets using Venn Diagram Learn how to represent the union of sets using Venn diagram. The union set operations can be visualized from the diagrammatic representation of sets. The rectangular region represents the universal set U and the circular regions the subsets A and B. The shaded portion represents the set name below…
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Relationship in Sets using Venn Diagram The relationship in sets using Venn diagram are discussed below: • The union of two sets can be represented by Venn diagrams by the shaded region, representing A ∪ B. A ∪ B when A ⊂ B A ∪ B when neither A ⊂ B nor B…
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Venn Diagrams in Different Situations To draw Venn diagrams in different situations are discussed below: How to represent a set using Venn diagrams in different situations? 1. ξ is a universal set and A is a subset of the universal set. ξ = {1, 2, 3, 4} A = {2, 3} • Draw a rectangle which…
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Venn Diagrams Venn diagrams are useful in solving simple logical problems. Let us study about them in detail. Mathematician John Venn introduced the concept of representing the sets pictorially by means of closed geometrical figures called Venn diagrams. In Venn diagrams, the Universal Set ξ is represented by a rectangle and all other sets…
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Word Problems on Sets Word problems on sets are solved here to get the basic ideas how to use the properties of union and intersection of sets. Solved basic word problems on sets: 1. Let A and B be two finite sets such that n(A) = 20, n(B) = 28 and n(A ∪ B)…
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Cardinal Properties of Sets Cardinal Properties of Sets: We have already learnt about the union, intersection and difference of sets. Now, we will go through some practical problems on sets related to everyday life. If A and B are finite sets, then • n(A ∪ B) = n(A) + n(B) – n(A ∩ B)…
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