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  1. Sets This section will show you how to: use set language and notation, and Venn diagrams to describe sets and represent relationships between sets. 1

  2. Worksheet on operation on sets we will solve 10 different types questions on math sets. 1. Find the union of each of the following pairs of sets. (a) A = {2, 4, 6} B = {1, 2, 3}

  3. The whole numbers from 1 to 10 are the members of set W. A picture called a Venn diagram is used to represent sets and show the relationship between them. For example, the following Venn diagram shows: all the whole numbers from 1 to 12 the set A where A {3, 6, 9, 12} the set B where B {2, 4, 6, 8, 10, 12} 9 6 12 8 10 4 1 5 7 11 2 3 A B

  4. SET INTERSECTION, SET UNION, SET COMPLEMENT: SUMMARY. The intersection of two sets denotes the elements that the sets have in common, or the "overlap" of the two sets. S ∩ T = {x|x∈ S and x∈ T}. The union of two sets merges the two sets into one "larger" set. S ∪ T = {x|x ∈ S or x ∈ T}.

  5. We analyze these two possibilities separately. If x2A[B, then either x2Aor x2B. If x2A, then x2A[(B[C) (since the union A[(B[C) certainly contains all elements from A). On the other hand, if x2B, then x2B[C, so we deduce x2A[(B[C). If x2C, then x2B[Cand we then deduce x2A[(B[C).

  6. What are the Types of Sets? Sets differ from each depending upon elements present in them. Based on this, we have the following types of sets. They are singleton sets, finite and infinite sets, empty or null sets, equal sets, unequal sets, equivalent sets, overlapping sets, disjoint sets, subsets, supersets, power sets, and universal sets.

  7. Practice Test 1- Sets. Show your work whenever appropriate for full credit. Write the following {0, 1, 2, ..., 10} in set-builder notation. Write out the set {x: x is an integer less than 4} in roster notation.

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