Union And Intersection Sets Examples
T v casey drew jade glen this is the intersection of sets s and v.
Union and intersection sets examples. Example let a a e i o u and. Given three sets a b and c the intersection is the set that contains elements or objects that belong to a b and to c at the same time. A 1 2 4 6 b a b 4 c and c a 4 a b c 4 the graph below shows the shaded region for the intersection of two sets. A more elaborate example involving two infinite sets is.
Logical relevance the union of two sets corresponds to the logical or whereas the intersection of two sets correspond to the logical and. The union of two sets is a set containing all elements that are in a or in b possibly both. Yes those are both examples of sets. A b b c a b b c a b c show video lesson.
Let counting numbers p multiples of 3 less than 20 and q even numbers less than 20. This is the union of sets t and v. Union intersection and complement. B a b c d e f.
Symbolic representation the union of two sets is represented by the symbol whereas the intersection of two sets is represented by the symbol. The union or u would be 1 2 3 4 5 6 7 8 not necessarily in numerical order. Union and intersection the union of two sets is the set of elements which are in either set. Draw and label a venn diagram to show the union of p and q.
The intersect or n would be because there isn t anything that s the same in both sets. Thus we can write x in a cup b if and only if x in a or x in b. Definition of the union of three sets. Take the previous set s v.
Basically we find a b c by looking for all the elements a b and c have in common. Union of 1 2 3 4 5 6 and 0 2 4 6 in our second example a b 10 2 0 4 11 15. We can think of the union of two sets as the entire venn diagram. In symbols.
The union of two sets a and b is the set of elements which are in a in b or in both a and b. Union of two sets. We write a b c. In our first example a b 0 1 2 3 4 5 6.
We don t repeat numbers in a union. Let a 1 2 3 and let b 3 4 5. Now the union of a and b written a b 1 2 3 4 5. Let s look at some more examples of the union of two sets.
Union of sets. S v drew and how about this. If d 1 2 3 4 5 6 7 8 9 10 with subsets a b and c where a 4 6 8 and b 6 7 8 9 and c 1 2 3 4 find the following. That is ok it is just the empty set.
We use and for intersection and or for union. For example if a 1 3 5 7 and b 1 2 4 6 7 then a b 1 2 3 4 5 6 7. Union of sets.