U= the set of natural numbers between 10 and 20 A= Even numbers B= Multiples of 3 where the number is less than 18. Find (A'UC) - B

tabita57i 2021-07-30 Answered
U= the set of natural numbers between 10 and 20
A= Even numbers
B= Multiples of 3 where the number is less than 18.
C= composite numbers
Find (AUC)B
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Expert Answer

cheekabooy
Answered 2021-07-31 Author has 83 answers

Step 1
U= the set of natural numbers between 10 and 20.
U={11,12,13,14,15,16,17,18,19}
A= even numbers {2,4,6,...18}
B= multiples of three where the number 15 less than 18.
B={3,6,9,12,15}
C= composite numbers
={4,6,8,9,10,12,14,15,16,18,...}
Step 2
Find (AUC)B
Hence, A={1,3,5,7,9,11,13,...}
Now, (AUC)={1,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,...}
and (AUC)B={1,4,5,7,8,10,11,13,14,16,17,19}

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