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Objects belonging to the set; Designated in 3 ways: A Word Description, Listing Method, & Set Builder Notation. |
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The set containing no elements. Symbols: ∅ or { } . |
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Replaces the words: "is an element of." & ∉ means "not an element of" |
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Natural or Counting Numbers |
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{ . . . ,-3, -2, -1, 0, 1, 2, 3, 4, . . . } |
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{ p/q | p and q are integers and q ≠ 0 } |
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Anything on the number line; { x| x is a number that can be expressed as a decimal } |
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{ x| x is a real number that can not be expressed as a quotient of integers } |
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Cardinal Number/Cardinality |
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The number of elements in a set. n(A) or "n of A," represents the cardinal number of set A. If they repeat in a set, they are not counted more than once. |
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The cardinal number of this set is a particular whole number (0 or counting number/a counting number). |
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A cardinal number is not found; too large too count. ∞ (symbol). |
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Set A is equal to set B provided the following two conditions are met: 1. Every element of A is an element of B and 2. Every element of B is an element of A. Regardless of order. |
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