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Mathematics
Mathematics
Problem
6. If
A
=
{
3
,
5
,
7
,
9
,
11
}
,
B
=
{
7
,
9
,
11
,
13
}
,
C
=
{
11
,
13
,
15
}
\mathrm{A}=\{3,5,7,9,11\}, \mathrm{B}=\{7,9,11,13\}, \mathrm{C}=\{11,13,15\}
A
=
{
3
,
5
,
7
,
9
,
11
}
,
B
=
{
7
,
9
,
11
,
13
}
,
C
=
{
11
,
13
,
15
}
and
D
=
{
15
,
17
}
\mathrm{D}=\{15,17\}
D
=
{
15
,
17
}
; find (i)
A
∩
B
\mathrm{A} \cap \mathrm{B}
A
∩
B
(ii)
B
∩
C
\mathrm{B} \cap \mathrm{C}
B
∩
C
(iii)
A
∩
C
∩
D
\mathrm{A} \cap \mathrm{C} \cap \mathrm{D}
A
∩
C
∩
D
(iv)
A
∩
C
\mathrm{A} \cap \mathrm{C}
A
∩
C
(v)
B
∩
D
\mathrm{B} \cap \mathrm{D}
B
∩
D
(vi)
A
∩
(
B
∪
C
)
\mathrm{A} \cap(\mathrm{B} \cup \mathrm{C})
A
∩
(
B
∪
C
)
(vii)
A
∩
D
\mathrm{A} \cap \mathrm{D}
A
∩
D
(viii)
A
∩
(
B
∪
D
)
\mathrm{A} \cap(\mathrm{B} \cup \mathrm{D})
A
∩
(
B
∪
D
)
(ix)
(
A
∩
B
)
∩
(
B
∪
C
)
(A \cap B) \cap(B \cup C)
(
A
∩
B
)
∩
(
B
∪
C
)
(x)
(
A
∪
D
)
∩
(
B
∪
C
)
(A \cup D) \cap(B \cup C)
(
A
∪
D
)
∩
(
B
∪
C
)
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