Answer :

**A – B is defined as {x** **ϵ** **A : x** **∉** **B}**

i. A – B is defined as {x ϵ A : x ∉ B}

A = {3, 6, 12, 15, 18, 21}

B = {4, 8, 12, 16, 20}

A – B = {3, 6, 15, 18, 21}

ii. A – C is defined as {x ϵ A : x ∉ C}

A = {3, 6, 12, 15, 18, 21}

C = {2, 4, 6, 8, 10, 12, 14, 16}

A – C = {3, 15, 18, 21}

iii. A – D is defined as {x ϵ A : x ∉ D}

A = {3, 6, 12, 15, 18, 21}

D = {5, 10, 15, 20}.

A – D = {3, 6, 12, 18, 21}

iv. B – A is defined as {x ϵ B : x ∉ A}

A = {3, 6, 12, 15, 18, 21}

B = {4, 8, 12, 16, 20}

B – A = {4, 8, 16, 20}

v. C – A is defined as {x ϵ C : x ∉ A}

A = {3, 6, 12, 15, 18, 21}

C = {2, 4, 6, 8, 10, 12, 14, 16}

C – A = {2, 4, 8, 10, 14, 16}

vi. D – A is defined as {x ϵ D : x ∉ A}

A = {3, 6, 12, 15, 18, 21}

D = {5, 10, 15, 20}.

D – A = {5, 10, 20}.

vii. B – C is defined as {x ϵ B : x ∉ C}

B = {4, 8, 12, 16, 20}

C = {2, 4, 6, 8, 10, 12, 14, 16}

B – C = {4, 8, 20}

viii. B – D is defined as {x ϵ B : x ∉ D}

B = {4, 8, 12, 16, 20}

D = {5, 10, 15, 20}

B – D = {4, 8, 12, 16}

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