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sets (key words : (equal sets (two sets are equal if they contain exactly…
sets
key words
:
equal sets
two sets are equal if they contain exactly the same elements
intersection
the intersection of two sets A and B is the elements that are found in both A and B
union
the union of two sets A and B is found by putting together in a new set all the elements of A and B without repeating an element. it's wrote as AUB
set difference
A\B is the set of elements of A which
are not
in B
three sets
examples of questions asked in relation to three brackets
(AUB)\C
(BUC)\A
The distributive property
3(4+5) = (3x4) + (3x5) = 12 + 15 = 27
this shows the distributive property is shown here. Similarly this applies to 3 set venn diagrams
A= {3,4,5,6} B={5,6,7,8} C={2,4,6,8,10}
investigate if AU(B∩C) = (AUB) ∩ (AUC)
AU(B∩C)={3,4,5,6}U{6,8} = {3,4,5,,6,8}
∴AU(B∩C) = (AUB) ∩ (AUC) = {3,4,5,6,8}