SOLUTION: Given U = {All letters of the alphabet}, A = {c, d, e, f}, and B = {e, f, g, h, k}. List the elements of set (a) A U B (b) A ∩ B (c) A′ ∩ B′

Algebra ->  sets and operations -> SOLUTION: Given U = {All letters of the alphabet}, A = {c, d, e, f}, and B = {e, f, g, h, k}. List the elements of set (a) A U B (b) A ∩ B (c) A′ ∩ B′       Log On


   

Question 197527: Given U = {All letters of the alphabet}, A = {c, d, e, f}, and B = {e, f, g, h, k}. List the elements of set
(a) A U B
(b) A ∩ B
(c) A′ ∩ B′
(d) A′ U B′
(e) A U B′
(f) (A U B′) ∩ B
(g) (A U B) ∩ (A U B′)
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
I'll do the first five to get you going in the right direction...


Start with the given sets:






Find their respective complement sets (eg, the complement of A is everything in U, but NOT in A):








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a) Simply combine the two sets A and B (remember to remove any duplicates) to find the union:




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b) Now form a new set of the common elements of sets A and B:





Use the same logic to complete the rest (but this time we're using different sets in different combinations)


c)


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d)



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e)