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Byju's Answer
Standard X
Mathematics
Number of Elements in Cartesian Product
Let A= a,e,i,...
Question
Let
A
=
{
a
,
e
,
i
,
o
,
u
}
and
B
=
{
a
,
i
,
u
}
. Show that
A
∪
B
=
A
Open in App
Solution
Given:
A
=
{
a
,
e
,
i
,
o
,
u
}
and
B
=
{
a
,
i
,
u
}
∴
A
∪
B
=
{
a
,
e
,
i
,
o
,
u
}
∪
{
a
,
i
,
u
}
=
{
a
,
e
,
i
,
o
,
u
}
A
∪
B
=
A
Hence proved.
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24
Similar questions
Q.
Let
A
=
{
a
,
c
,
i
,
o
,
u
}
&
B
=
{
a
,
i
,
u
}
show that
A
∪
B
=
A
.
Q.
Let
V
=
{
a
,
e
,
i
,
o
,
u
}
and
B
=
{
a
,
i
,
k
,
u
}
.
Find
V
−
B
and
B
−
V
.
Q.
Given { a, b , c , d, e}, B = { a, e, i, o, u} and C ={ c, d, e, u}.
(i) Show that
A
∖
(
B
∖
C
)
≠
(
A
∖
B
)
∖
C
.
(ii) Verify (i) using Venn diagram.
Q.
If
V
=
{
a
,
e
,
i
,
o
,
u
}
and
B
=
{
a
,
i
,
k
,
u
}
, then find
V
−
B
and
B
−
V
. Are they equal?
Q.
Given A = {a, b, c, d, e} B = {a, e, i, o, u} C = {c, d, e, u} . Show that A\ (B\C)
≠
(A\B)\C
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Number of Elements in Cartesian Product
Standard X Mathematics
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