Set Theory: Set theory is the branch of mathematics logic that studies sets, which can informally be described as the collections of objects. $A={\{a,b,c,d,e}\}$ Union: The union of a collection of sets is the set of all elements in the collection. $A\,\cup{B}={\{x:x{\in}A \,or\, x:x{\in}B \,or\, x{\in}A\, and \,B\,both}\}$ $A_1\,\cup{A_2}\,\cup\,.......,\cup{A}_m={\cup_{i=1}^{m}}\,Ai$ Intersection: The intersection of two sets A and B is the set of all those elements which are common to both A and B. $A\,\cap{B}={\{x:x{\in}A \,or\, x:x{\in}B \,or\, x{\in}A\, and \,B\,both}\}$ $A_1\,\cap{A_2}\,\cap\,.......,\cap{A}_m={\cap_{i=1}^{m}}\,Ai$ Complementation: The complement of set A, denoted as $\bar{A} \, or A^{c}$ is the set of all elements not contained in A. $A=\{{x:x\notin{A}}\}$ Hence, $\bar{A}=\cup-{A}$ Subset: Set A is a subset of a set B if all elements of A are also elements of B. Here, B is the then a superset of A. $\therefore\,A\subseteq{B}$ It is possible for A and B to be eq...
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