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If determine the following sets:
(i) By definition, tells us that we want to find the common elements between the two sets. In this case, it is 4 only. Thus .
(ii) By definition, tells us that we want to combine all the elements between the two sets. In this case, it is .
(iii) By definition, tells us that we want to look for elements in the former set in that doesn't appear in the latter set. So .
Consider the same example above. If the element is removed from the set , solve for (i), (ii), (iii) as well.
(i) Since there is no common elements in sets and , then or .
(ii) Because the element is no longer repeated, then remains the same.
(iii) Since and no longer share any common element, is simply equals to set , which is .
Find the cardinal number of the set .
Note: The cardinal number of a set is equal to the number of elements contained in the set.
Bonus question given with the picture.
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