SETS 2 – Union and Intersection
UNION of sets – to perform the union of two sets, we just list the elements of both sets. It is not necessary to repeat any “common” elements. - the symbol that shows union of sets is U EXAMPLE :{ a, b, c, d, e } U { 1, 2, 3, 4 }
SETS 2 – Union and Intersection UNION of sets – to perform the union of two sets, we just list the elements of both sets. It is not necessary to repeat any “common” elements. - the symbol that shows union of sets is U EXAMPLE :{ a, b, c, d, e } U { 1, 2, 3, 4 } Answer : { a, b, c, d, e, 1, 2, 3, 4 }
SETS 2 – Union and Intersection UNION of sets – to perform the union of two sets, we just list the elements of both sets. It is not necessary to repeat any “common” elements. - the symbol that shows union of sets is U EXAMPLE :{ a, b, c, d, e } U { 1, 2, 3, 4 } Answer : { a, b, c, d, e, 1, 2, 3, 4 } EXAMPLE :{ c, d, e, f } U { a, b, c, d, e } Answer { a, b, c, d, e, f } ** no need to repeat elements
SETS 2 – Union and Intersection INTERSECTION of sets – to perform the intersection of two sets, we find the elements that the sets have in common…what do they share ? - the symbol for intersection is ∩
SETS 2 – Union and Intersection INTERSECTION of sets – to perform the intersection of two sets, we find the elements that the sets have in common…what do they share ? - the symbol for intersection is ∩ EXAMPLE : { 1, 2, 3, 4, 5 } ∩ { 3, 4, 5, 6 }
SETS 2 – Union and Intersection INTERSECTION of sets – to perform the intersection of two sets, we find the elements that the sets have in common…what do they share ? - the symbol for intersection is ∩ EXAMPLE : { 1, 2, 3, 4, 5 } ∩ { 3, 4, 5, 6} Answer : { 3, 4 }
SETS 2 – Union and Intersection INTERSECTION of sets – to perform the intersection of two sets, we find the elements that the sets have in common…what do they share ? - the symbol for intersection is ∩ EXAMPLE : { 1, 2, 3, 4, 5 } ∩ { 3, 4, 5, 6 } Answer : { 3, 4 } EXAMPLE : { a, -2, d, 4, f, 6 } ∩ { 4, d, -6, s, 1, a }
SETS 2 – Union and Intersection INTERSECTION of sets – to perform the intersection of two sets, we find the elements that the sets have in common…what do they share ? - the symbol for intersection is ∩ EXAMPLE : { 1, 2, 3, 4, 5 } ∩ { 3, 4, 5, 6 } Answer : { 3, 4 } EXAMPLE : { a, -2, d, 4, f, 6 } ∩ { 4, d, -6, s, 1, a } Answer : { a, d, 4 }
SETS 2 – Union and Intersection EMPTY SET – a set with no elements. Usually occurs with intersection of sets and the two sets have nothing in common - the symbol for an empty set is Ø EXAMPLE :{ 3, 4, 5, 6, 7 } ∩ { 10, 11, 12 }
SETS 2 – Union and Intersection EMPTY SET – a set with no elements. Usually occurs with intersection of sets and the two sets have nothing in common - the symbol for an empty set is Ø EXAMPLE :{ 3, 4, 5, 6, 7 } ∩ { 10, 11, 12 } Answer : Ø
ASSIGNMENT : 1. Open the Drill link and complete all problems 2. Open the solution guide and check your answers