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The intersection of three sets A,B and C is {₋2 , 11}.
Given set A = {₋2,7,8,11}
set B = {₋2,7,11}
set C = {₋2,8,11}
we need to find A∩B∩C.
The components shared by all the sets A, B, and C are given by the intersection of A and B as a set. A ∩ B ∩ C is a notation that can be used to indicate the intersection of A, B, and C.
To obtain A intersection B intersection C, first determine the common elements of sets A and B, or A ∩ B. Then determine the common elements of sets B and C, or B ∩ C. Finally, compute the common elements of these two results.
we first find:
A∩B = {₋2,7,8,11} ∩ {₋2,7,11}
= {₋2,7,11}
then B ∩ C = {₋2,7,11} ∩ {₋2,8,11}
= {₋2 , 11}
now (A∩B) ∩ (B∩C) = {₋2,7,11} ∩ {₋2 , 11}
= {₋2 , 11}
hence we get the intersection of three sets as {₋2 , 11}
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