Jawaban Buku Matematika Kelas 7 Ayo Kita Berlatih 2.9 Hal 171 - 172 Diketahui S= Bilangan Asli

Ayo Kita Berlatih 2.9 Semester 1
1. Diketahui
s={bilangan asli kurang dari 15}
P={1,2,3,4,5,6} Q={5,6,7,8,9}

tentukan
a. P komplemen
b. Q komplemen
c. (P irisan Q) komplemen
d. (P union Q) komplemen

2. diketahui s={bilangan cacah kurang dari 11 }
a={x\x€p,x<10,p bilangan prima}
b={579} tentukan a.A‘ b.B‘
c.(AnB)‘
d.(AuB)‘
e.An(AUB)'
f.B‘n(AuB)
g.(AuB)'n(AuB)‘
h.(A'nB)'u(AuB')'

3. Perhatikan diagram venn berikut
berdasarkan diagram venn tersebut tentukan banyak anggota dari
a. Akomplomen
b. Bkomplomen
c. Ckomplomen
d. (A n B)komplomen
e. (A u C)komplomen
f. (A n C)komplomen
g. Akomplomen n (B u C)komplomen
h. (A n B)komplomen n (A n C)komplomen

4. Diketahui A={a,b,c,d,e,f} dan B={e,f,g,h,j}.tentukan.
a.A-B.
b.B-A
c.(A-B)nA
d.(A-B)u(B-A)

5. misalkan A= {1,2,3,....,10}dan B={3,5,7,9,11,13},dan c ={7,8,9,10,11,12,13}.tentukan anggota himpunan dari.
a.A-B
b.B-A
c.B-C
d.C-A
e.(A-B)n(A-C)
f.(A-C)u(B-C)
g.(AuB)-(BuC)
h.(A-B)c u(B-C)c

Kunci Jawaban Ayo Kita Berlatih 2.9 Halaman 171 Semester 1
1. S = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14}, P = {1, 2, 3, 4, 5, 6}, dan Q = {5, 6, 7, 8, 9}.
a. P' = {7, 8, 9, 10, 11, 12, 13, 14}.
b. Q' = {1, 2, 3, 4, 10, 11, 12, 13, 14}.
c. P ∩ Q = {5, 6}.
(P ∩ Q)' = {1, 2, 3, 4, 7, 8, 9, 10, 11, 12, 13, 14}.
d. P ∪ Q = {1, 2, 3, 4, 5, 6, 7, 8, 9}.
(P ∪ Q)' = {10, 11, 12, 13, 14}.

2. S = {0,1,2,3,4,5,6,7,8,9,10}
A = {2,3,5,7}
B = {5,7,9}

a)  A⁽ = {0,1,4,6,8,9,10}
b)  B⁽ = {0,1,2,3,4,6,8,10}
c)  (A ∩ B)⁽ = {0,1,2,3,4,6,8,9,10}
d. (A ∪ B)' = {0, 1, 4, 6, 8, 10}.
e)  A ∩ (A ∪ B) = {2,3,5,7}
f)  B⁽ ∩ (A ∪ B) = {2,3}
g)  (A ∪ B)⁽ ∩ (A ∪ B) = {  }
h. (A' ∩ B)' ∪ (A ∪ B')' = {0, 1, 2, 3, 4, 5, 6, 7, 8, 10} ∪ {0, 1, 4, 6, 8, 10} = {0, 1, 4, 6, 8, 10}.

3. A. A'={3,18,25}
B. B'={5,18,20}
C.C'={7,20,25}
D. A irisan B'={2,7} komplemen={3,5,18,20,25}
E. A gbungan B'={2,3,5,7,20,25} komplemen={18}
F. A irisan C={2,5} komplemen= {3,7,18,20,25}
G. maaf kak gk tau mksdnya
H.(A irisan B={2,7})
(A irisan C={2,5})
irisannya={2}komplemen={3,5,7,18,20,25}

4. A) A - B = {a,b,c,d}
b) B - A = {g,h j }
c) (A-B) ∩ A = {a,b,c,d} ∩ {a,b,c,d,e,f} = {a.b.c.d}
d) (A-B) ∪ (B-A) = {a,b,c,d} ∪ (g,h,j } = {a.b.c.d.g,h,j }

5. A. {1,2,4,6,8,10}
b. {11,13}
c. {3,5}
d. {8,10,12}
e. {1,2,4,6}
f. {1,2,3,4,5,6}
g. {1,2,4,6,12}
h. {1,2,3,4,5,6,7,8,9,10,11,12,13}

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