HIMPUNAN

SOAL
Buktikan jika
(P ᴗ Q) ᴖ (P' ᴖ R)' = P ᴗ (Q' ᴗ R)'
Misalkan :
S = {2,4,6,8,10,12,14,16,18,20}
P = {2,4,6,8,10}
P' = {12,14,16,18,20}
Q = {4,10,12,14,16}
Q'= {2,6,8,18,20}
R = {4,8,10,16,18,20}
R'= {2,6,12,14}

JAWAB
Pembuktian :
P' ᴖ R = {16,18,20}
(P' ᴖ R)' = {2,4,6,8,12,14}
(P ᴗ Q) ᴖ (P' ᴖ R)' = {2,4,6,8,10,12,14,16} ᴖ {2,4,6,8,12,14} = {2,4,6,8,12,14}

Q' ᴗ R = {2,4,6,8,10,16,18,20}
(Q' ᴗ R)' = {12,14}
P ᴗ (Q' ᴗ R)' = {2,4,6,8,10} ᴗ {12,14}= {2,4,6,8,10,12,14}
Jadi benar bahwa (P ᴗ Q) ᴖ (P' ᴖ R)' = P ᴗ (Q' ᴗ R)'--------> {2,4,6,8,10,12,14}


Kelompok 4 :
- Ana Fatimah
- Chandra J.S.
- Faisal Akbar
- Muhammad Nur Hady
Kelas : 1ID10

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