Question

Tolong jawab soal himpunan berikut ini​

Answer 1

Berlatih 2.9

diketahui

S = {bilangan asli kurang dari 15}

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

Q = {5,6,7,8,9}

tentukan

a. P'

b. Q'

c. (P n Q) '

d. (P u Q) '

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sebaiknya tabulasi dahulu himpunan S

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

a. P' artinya P komplemen yaitu himpunan S minus himpunan P , maka

P' = {7,8,9,10,11, 12, 13, 14} ✔️

b. Q' = {1, 2, 3,4, 10, 11, 12, 13, 14} ✔️

c. karena (P n Q) = { 5, 6 } maka

(P n Q)' = {1, 2, 3, 4,7, 8, 9, 10, 11, 12, 13, 14} ✔️

d. karena P u Q = {1, 2, 3, 4, 5, 6, 7, 8, 9}

maka

(P u Q)' = {10, 11, 12, 13, 14} ✔️

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