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Let set A = {odd numbers between 0 and 100} and set B = {numbers between 50 and 150 that are evenly divisible by 5}. What is A ∩ B? (2 points)

User Melisha
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1 Answer

2 votes
A = {odd numbers between 0 and 100}
A = {1, 3, 5, 7,...., 95, 97, 99}

B =
{numbers between 50 and 150 that are evenly divisible by 5}
B = {50, 55, 60, 65, ..., 140, 145, 150}

The notation
A ∩ B means the set of items that are in set A and also in set B. In terms of venn diagrams, it's the overlapping region between circle A and circle B

In this case, the following values are found in both set A and set B
{55, 65, 75, 85, 95}

So that's why
A ∩ B = {55, 65, 75, 85, 95}
which is the final answer
User Prasad Bhosale
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