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Elements Of Modern Algebra

8th Edition
Gilbert + 2 others
ISBN: 9781285463230

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Section
BuyFindarrow_forward

Elements Of Modern Algebra

8th Edition
Gilbert + 2 others
ISBN: 9781285463230
Textbook Problem
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Label each of the following statements as either true or false.

Let f : A B where A and B are nonempty. Then f 1 ( f ( T ) ) = T for every subset T of B.

To determine

Whether the statement, ‘f1(f(T))=T for every subset T of B.’ is true or false.

Explanation

Let A={0}andB={0,1}.

A function f:AB is defined by f(a)=0. Let T=B={0,1}.

Then,

f1(B)={0}

Also,

f(f1(B))

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