If A = {a, b, c, d, e}, B = {a, c, e, g} and C = {b, e, f, g}, find:

Question:

If A = {a, b, c, d, e}, B = {a, c, e, g} and C = {b, e, f, g}, find:

(i) $A \cap(B-C)$

(ii) $A-(B \cup C)$

(iii) $A-(B \cap C)$

 

Solution:

Given; A = {a, b, c, d, e}, B = {a, c, e, g} and C = {b, e, f, g}

(i) $A \cap(B-C)=\{a, c\}$

(ii) $A-(B \cup C)=\{d\}$

(iii) $A-(B \cap C)=\{a, b, c, d\}$

 

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