Diketahui:

S = {0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15}

A = {2, 4, 6, 8, 10}

B = {2, 3, 5, 7, 9}

Tentukan dan buatkan diagram venn nya

a. A ∩ B

b. A U B

c. A – B

d. A' e. B'

Jawab:

a. A ∩ B = {2, 4, 6, 8, 10} ∩ {2, 3, 5, 7, 9}

ㅤㅤㅤㅤ = {2}

Notasi: A ∩ B = x | x ∈ A dan x ∈ B}

_______

b. A U B = {2, 4, 6, 8, 10} U {2, 3, 5, 7, 9}

ㅤㅤㅤㅤ = {2, 3, 4, 5, 6, 7, 8, 9, 10}

_______

c. A – B = {2, 4, 6, 8, 10} – {2, 3, 5, 7, 9}

ㅤㅤㅤㅤ = {4, 6, 8, 10}

________

d. A' = x ∈ S, namun x ∉ A

ㅤㅤ = {0,1,3,5,7,9,11,12,13,14,15}

________

e. B' = x ∈ S, namun x ∉ B

ㅤㅤ = {0,1,4,6,8,10,11,12,13,14,15}

________

⛄ Diagram Venn terlampir