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There are various types of sets. A finite set has a limited number of members, such as the letters of the alphabet; an infinite set has an unlimited number of members, such as all whole numbers; an empty or null sethas no members, such as the number of people who have swum across the Atlantic Ocean, written as {} or ø; a single-element set has only one member, such as days of the week beginning with M, written as {Monday}. Equal sets have the same members; for example, if W = {days of the week} and S = {Sunday, Monday, Tuesday, Wednesday, Thursday, Friday, Saturday}, it can be said that W = S. Sets with the same number of members are equivalent sets. Sets with some members in common are intersecting sets; for example, if R = {red playing cards} and F = {face cards}, then Rand Fshare the members that are red face cards. Sets with no members in common are disjoint sets. Sets contained within others aresubsets; for example, V = {vowels} is a subset of L = {letters of the alphabet}.

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12y ago

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