Problem 1130

Use A = {2, 4, 6, 7, 8} and  B = {3, 5, 7} to find the set A ∩ B.

 

Solution:-

 

The intersection of A with B, denoted A ∩ B, is the set consisting of elements that belong to both A and B.

List every element of A that is also an element of B.

Although it is not necessary to list the element of a set in any particular order, it is easier to compare seat if they are listed in a particular order. In this case elements are numbers so a natural choice would be to list them from least to greatest.

A ∩ B = {2, 4, 6, 7, 8,} ∩ {3, 5, 7, 8}

= {7, 8}

 

 

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