Question

iv) AN(BUC)
If A = {1, 2, 3,4}, B = {3,4,5,6} and C = {1, 2, 4, 6, 7), then find
i) AUB
ii) BUC
iii) (AUB)UC
v) AU(BUC) vi) A-(BUC) vii) (A - B)U(A-C)​

Answer 1

Answer:

A = {1, 2, 3,4}, B = {3,4,5,6} and C = {1, 2, 4, 6, 7}

i) AUB

AUB = {1,2,3,4,5,6}

ii) BUC

BUC = {1,2,3,4,5,6,7}

iii) (AUB)UC

(AUB) = {1,2,3,4,5,6}

(AUB)UC = {1,2,3,4,5,6,7}

v) AU(BUC)

(BUC) = {1,2,3,4,5,6,7}

AU(BUC) = {1,2,3,4,5,6,7}

vi) A-(BUC)

(BUC) = {1,2,3,4,5,6,7}

A-(BUC) = {5,6,7}

vii) (A - B)U(A-C)

(A - B) = {1,2}

(A - C) = {3}

(A - B)U(A-C) = {1,2,3}

Answer 2

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