Example: Partitions of Sets Let A 1, 2, 3, 4, 5, 6}, A,= {1,2}, A,= {3,4} and A= {5, 6} Is {A1, A2, A3} a partition of A? а. b. Let Z be the set of all integers and let: To {n E Zn = 3k T, {nE Zn = 3k...

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Example: Partitions of Sets<br>Let A 1, 2, 3, 4, 5, 6}, A,= {1,2}, A,= {3,4} and A= {5, 6}<br>Is {A1, A2, A3} a partition of A?<br>а.<br>b.<br>Let Z be the set of all integers and let:<br>To {n E Zn = 3k<br>T, {nE Zn = 3k + 1, for some integer k}, and<br>T2 {n E Z n = 3k + 2, for some integer k }.<br>Is {To, T,, T2 } a partition of Z?<br>for some integer k}<br>0<br>

Extracted text: Example: Partitions of Sets Let A 1, 2, 3, 4, 5, 6}, A,= {1,2}, A,= {3,4} and A= {5, 6} Is {A1, A2, A3} a partition of A? а. b. Let Z be the set of all integers and let: To {n E Zn = 3k T, {nE Zn = 3k + 1, for some integer k}, and T2 {n E Z n = 3k + 2, for some integer k }. Is {To, T,, T2 } a partition of Z? for some integer k} 0

Jun 04, 2022

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Example: Partitions of Sets Let A 1, 2, 3, 4, 5, 6}, A,= {1,2}, A,= {3,4} and A= {5, 6} Is {A1, A2, A3} a partition of A? а. b. Let Z be the set of all integers and let: To {n E Zn = 3k T, {nE Zn = 3k...

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