Let the universe be the set U = {1, 2, 3, , 10}. Let A {1, 4, 7, 10}, B = {1, 2,
ID: 3240878 • Letter: L
Question
Let the universe be the set U = {1, 2, 3, , 10}. Let A {1, 4, 7, 10}, B = {1, 2, 3, 4, 5), and C = (2, 4, 6, 8). List the elements and cardinality of each set. Determine if the following statements are true or false. |A union B| = |Al + IBI IA union B| = IAI + IBI + |A intersection B| IA union B| = |AI + |B| - |A intersection B| |A union B union C| = |Al + IBI + ICI IA union B union C| = IAI + IBI + |c| - |A intersection B| - |A intersection C| - |B intersection C| + |A intersection B intersection C| IA union B union C| = IAI+ IB| + |c| - |A intersection B| - |A intersection C| - |B intersection C| |A Union B Union C| = |Al + IBI + ICIExplanation / Answer
(1) Elements of set U are 1, 2, 3, 4, 5, 6, 7, 8, 9, 10 and its cardinality is 10
Elements of set A are 1, 4, 7, 10 and its cardinality is 4
Elements of set B are 1, 2, 3, 4, 5 and its cardinality is 5
Elements of set C are 2, 4, 6, 8 and its cardinality is 4.
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