Unions and Intersections of Sets

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Presentation transcript:

Unions and Intersections of Sets Ch 3-8 Students will be able to find the unions and intersections of sets. Unions and Intersections of Sets Algebra 1 Foundations, pg 230

Ch 3-8 Students will be able to find the unions and intersections of sets. Certain regions of the Venn diagram in the Solve It show unions and intersections of sets. Focus Question What are the union and intersection of sets? The union of two or more sets is the set that contains all of the elements of the sets. The intersection of two or more sets is the set of elements that are common to every set. Algebra 1 Foundations, pg 230

Ch 3-8 Students will be able to find the unions and intersections of sets. To find the union of two sets, list the elements that are in either set, or both sets. An element is in the union if it belongs to at least one of the sets. In the Venn diagram below, A U B is shaded. Algebra 1 Foundations, pg 230

Ch 3-8 Students will be able to find the unions and intersections of sets. Algebra 1 Foundations, pg 231

Ch 3-8 P = { 0, 1, 2, 3, 4 } Therefore, Q = { 2, 4 } Students will be able to find the unions and intersections of sets. P = { 0, 1, 2, 3, 4 } Q = { 2, 4 } Therefore, P U Q = { 0, 1, 2, 3, 4 } If B A, then A U B will contain the same elements as A. U Algebra 1 Foundations, pg 231

Ch 3-8 Students will be able to find the unions and intersections of sets. An element is in the intersection if it belongs to all of the sets. When you find the intersection of two sets, list only the elements that are in both sets. In the Venn Diagram below, A ∩ B is shaded. Algebra 1 Foundations, pg 231

Ch 3-8 Students will be able to find the unions and intersections of sets. Disjoint sets have no elements in common. The intersection of disjoint sets is the empty set. The diagram below shows two disjoint sets. Algebra 1 Foundations, pg 231

Ch 3-8 Students will be able to find the unions and intersections of sets. Algebra 1 Foundations, pg 232

Ch 3-8 Students will be able to find the unions and intersections of sets. A ∩ B = { 2, 8 } A ∩ C = 0 C ∩ B = { 5, 7 } Algebra 1 Foundations, pg 232

Ch 3-8 Students will be able to find the unions and intersections of sets. You can draw Venn diagrams to solve problems involving relationships between sets. Algebra 1 Foundations, pg 232

Ch 3-8 Students will be able to find the unions and intersections of sets. You can also use Venn diagrams to show the number of elements in the union or intersection of sets. Algebra 1 Foundations, pg 233

Ch 3-8 Students will be able to find the unions and intersections of sets. Algebra 1 Foundations, pg 233

Ch 3-8 = subset ∩ = intersection U = union U Students will be able to find the unions and intersections of sets. = subset ∩ = intersection U = union U Algebra 1 Foundations, pg 234

Ch 3-8 = subset ∩ = intersection U = union U Students will be able to find the unions and intersections of sets. = subset ∩ = intersection U = union U Algebra 1 Foundations, pg 234