In the given situation both Analene and Jessica like singing and reading. If set X represents Analene's liking and set Y represents Jessica's liking, then singing and reading represents the intersection of sets X and Y which is denoted by X Π Υ. The intersection of sets X and Y, denoted by X NY, is a set containing the members or elements that can be found in both sets X and Y. The symbol n means "Intersection". Therefore, the intersection of X and Y can be written in the form XnY {reading, singing) The intersection of sets X and Y can be represented using a Venn diagram. The diagram on the right shows that singing and reading belongs to both sets X and Y. 8 Solution: Example 1. Find the intersection of sets A and B. A = {1, 2, 3, 4, 5, 6} therefore, Solution: City of Good Character DISCIPLINE GOOD TASTE EXCELLENCE . (An B) = {2, 4, 6} Example 2. Find the intersection of C and D. C = {m, a, t, h} dancing X 2, 4, and 6 are both in sets A and B If sets X and Y have no common member or element, then X Y = { }, we can say that X and Y are disjoint sets. Sets X and Y are said to be disjoint if and only if no elements of Set X are in Set Y. There are no common elements found in set C and D therefore, (CND) = {} X B=(2, 4, 6, 8, 10} D = {e, n, g} m C singing reading 1 5 at h 3 b A 2 4 Y 6 watching Y a B 8 g 10 D C In the previously given situation, If Analene and Jessica combine their list of hobbies, what do they have in all? If Analene is represented by set X = {dancing, singing, reading) and Jessica is represented by set Y = {watching, singing, reading), by combining their list of hobbies we may form a union of hobbies that belongs either to Analene or lessica or in both
