3.
Short answer questions:
7. Using venn diagram, show that A Union (A intersection B)=A
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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 name below the diagram.
Let A and B be the two sets. The intersection of A and B is the set of all those elements which belong to both A and B.
Now we will use the notation A ∩ B (which is read as ‘A intersection B’) to denote the intersection of set A and set B.
Thus, A ∩ B = {x : x ∈ A and x ∈ B}.
Clearly, x ∈ A ∩ B
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