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Let’s check out your problem:
Given:
\newline
Universal Set
U
=
1
,
7
,
8
,
10
\mathrm{U}=1,7,8,10
U
=
1
,
7
,
8
,
10
\newline
Subset B
=
8
=8
=
8
\newline
What is the complement of Set B in Set U?
\newline
{
1
,
7
,
8
}
\{1,7,8\}
{
1
,
7
,
8
}
\newline
{
8
}
\{8\}
{
8
}
\newline
{
1
,
7
,
10
}
\{1,7,10\}
{
1
,
7
,
10
}
\newline
{
1
,
7
,
8
,
10
}
\{1,7,8,10\}
{
1
,
7
,
8
,
10
}
View step-by-step help
Home
Math Problems
Algebra 1
Evaluate variable expressions involving rational numbers
Full solution
Q.
Given:
\newline
Universal Set
U
=
1
,
7
,
8
,
10
\mathrm{U}=1,7,8,10
U
=
1
,
7
,
8
,
10
\newline
Subset B
=
8
=8
=
8
\newline
What is the complement of Set B in Set U?
\newline
{
1
,
7
,
8
}
\{1,7,8\}
{
1
,
7
,
8
}
\newline
{
8
}
\{8\}
{
8
}
\newline
{
1
,
7
,
10
}
\{1,7,10\}
{
1
,
7
,
10
}
\newline
{
1
,
7
,
8
,
10
}
\{1,7,8,10\}
{
1
,
7
,
8
,
10
}
Identify Set U Elements:
Identify elements in Set U.
\newline
U
=
{
1
,
7
,
8
,
10
}
U = \{1, 7, 8, 10\}
U
=
{
1
,
7
,
8
,
10
}
Identify Subset B:
Identify elements in Subset B.
\newline
B
=
{
8
}
B = \{8\}
B
=
{
8
}
Find Complement of B:
Find the complement of Set
B
B
B
in Set
U
U
U
, which includes all elements in
U
U
U
that are not in
B
B
B
.
\newline
Complement of
B
=
U
−
B
B = U - B
B
=
U
−
B
Perform Subtraction:
Perform the subtraction to find the complement.
\newline
Complement of
B
=
{
1
,
7
,
8
,
10
}
−
{
8
}
B = \{1, 7, 8, 10\} - \{8\}
B
=
{
1
,
7
,
8
,
10
}
−
{
8
}
\newline
Complement of
B
=
{
1
,
7
,
10
}
B = \{1, 7, 10\}
B
=
{
1
,
7
,
10
}
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