Concept explainers
a.
To find the derived set of the given set.
a.
Explanation of Solution
Given:
Calculation:
Consider the set
Here
Therefore the derived set of
b.
To find the derived set of the given set.
b.
Explanation of Solution
Given:
Calculation:
Consider the set
Suppose
Now,
Therefore the derived set of
c.
To find the derived set of the given set.
c.
Explanation of Solution
Given:
Calculation:
Consider the set
Suppose
Now,
Therefore the derived set of
d.
To find the derived set of the given set.
d.
Explanation of Solution
Given:
Calculation:
Consider the set
Suppose
Here
Now,
Therefore the derived set of
e.
To find the derived set of the given set.
e.
Explanation of Solution
Given:
Calculation:
Consider the set
Suppose
Now,
Therefore the derived set of
f.
To find the derived set of the given set.
f.
Explanation of Solution
Given:
Calculation:
Consider the set
Suppose
Then
Therefore the derived set of
g.
To find the derived set of the given set.
g.
Explanation of Solution
Given:
Calculation:
Consider the set
Suppose
Now,
Therefore the derived set of
h.
To find the derived set of the given set.
h.
Explanation of Solution
Given:
Calculation:
Consider the set
Suppose
Now,
Therefore the derived set of
i.
To find the derived set of the given set.
i.
Explanation of Solution
Given:
Calculation:
Consider the set
Suppose
Now,
Therefore the derived set of
j.
To find the derived set of the given set.
j.
Explanation of Solution
Given:
Calculation:
Consider the set
Suppose
Now,
Therefore the derived set of
k.
To find the derived set of the given set.
k.
Explanation of Solution
Given:
Calculation:
Consider the set
Suppose
Now,
Therefore the derived set of
l.
To find the derived set of the given set.
l.
Explanation of Solution
Given:
Calculation:
Consider the set
Suppose
Now,
Therefore the derived set of
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Chapter 7 Solutions
A Transition to Advanced Mathematics
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