Question 248884: Given: set A={5,6,10,12} and Set B={1,2,3,4,5,6,7,8}
a.) Find: A U B
b.) Find: A (upside down U) B which will be notated as A @ B for this question.
Answer by chosenpoint(26)   (Show Source):
You can put this solution on YOUR website! Here we are dealing with sets and set operations. Sets are named using capital letters and the set elements are enclosed in brackets.
a.) A U B is also known as the Union of set A and set B. The Union of 2 sets means just picking out all the set elements which are found in set A OR in set B. Essentially, every element contained in set A or set B is found in set A U B.
We can then easily see that A U B = {1,2,3,4,5,6,7,8,10,12}
Notice that we do not need to put the elements 5 and 6 in the new set twice. Once will suffice. Think of the Union of sets as an umbrella which will catch all of the set elements in it once.
b.) For part b, we will use this symbol @ to indicate A Intersect B, which will in turn look like A @ B.
The intersection of 2 sets essentially means finding the set elements which are contained in BOTH set A AND in set B. We can easily scan the 2 sets and see that the only elements contained in both A and B are the numbers 5 and 6.
So A @ B = {5,6}
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