Given these sets: A = {1, 2, 3, 4} B = {3, 4, 5, 6, 7} C = {3, 5, 7, 9} List the elements of this set A ∩ (BUC) Do not skip to the answer. Show your work, step by step.
BUC = {3, 4, 5, 6, 7,9} ; Total A ∩ (BUC) = {3, 4} ; Common
here is how i did my tho but we did get the same thing just wanted to gave more to it
Spread that out so we can substitute the sets for the letters: C ⋂ ( A ⋃ B {3,5,7,9} ⋂ ( {1,2,3,4} ⋃ {3,4,5,6,7} ) First I work inside the parentheses.⋃ (union) means to take all the elements that are in either set, whether they are in common to both sets or not. So (A⋃B) will contain 1,2,3,4,5,6,and 7. So we write this next {3,5,7,9} ⋂ ( {1,2,3,4,5,6,7} ) Now ⋂ (intersection) is more restrictive than ⋂. It means to take ONLY the elements that are IN COMMON to both sets and take no other elements. The only elements that are in both sets now are 3,5, and 7, so the answer is {3,5,7}
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