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 Sets 36 Flashcards |
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What is a collection of well-defined objects called in set theory? |
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A set |
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Which symbol means 'does not belong to' in set theory? |
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∉ |
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True or False: A set can contain duplicate elements. |
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False. In a set, each element is counted only once. |
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Riddle: I’m a collection with no members at all, you can find me with the symbol φ. What am I? |
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An empty set |
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Fill in the blank: The number of elements in a finite set is called ______. |
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Cardinality |
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Which of the following represents a finite set? A) {1, 2, 3} B) {x | x is a natural number} C) {0, 1, 2, …} D) {x | x is an integer} |
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A) {1, 2, 3} |
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What is the roster form of the set of whole numbers? |
Card: 13 / 36 |
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W = {0, 1, 2, 3, …} |
Card: 14 / 36 |
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True or False: The cardinality of the empty set is one. |
Card: 15 / 36 |
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False. The cardinality of the empty set is zero, n(φ) = 0. |
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Fill in the blank: The set of natural numbers can be represented as ______. |
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N = {x | x is a natural number} |
Card: 18 / 36 |
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What is the set-builder form of the integers? |
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Z = {x | x is an integer} |
Card: 20 / 36 |
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Riddle: I can be either counted or uncounted, but you cannot find me in a list when I’m empty. What am I? |
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An empty set |
Card: 22 / 36 |
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Which method describes a set by listing all its elements? |
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Roster or Tabular Form Method |
Card: 24 / 36 |
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What does the symbol ∈ represent in set theory? |
Card: 25 / 36 |
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Belongs to |
Card: 26 / 36 |
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True or False: Infinite sets have a limited number of elements. |
Card: 27 / 36 |
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False. Infinite sets have an unlimited number of elements. |
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Fill in the blank: A set with a limited number of elements is called a ______ set. |
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Finite |
Card: 30 / 36 |
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What is the set-builder form for the set of odd numbers greater than 0? |
Card: 31 / 36 |
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Y = {y | y = 2x + 1, x ∈ N} |
Card: 32 / 36 |
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Which type of set has no elements? |
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Empty set or null set |
Card: 34 / 36 |
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Riddle: I’m a collection defined by properties, not by my elements' names. What am I? |
Card: 35 / 36 |
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Set-builder form |
Card: 36 / 36 |
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Completed! Keep practicing to master all of them. |
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