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The minimum number of elements that must be added to the relation on the set of natural numbers so that it is an equivalence is
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for equivalence relation R
if
then
if
then
No of added ordered pairs
if
then
if
then
No of added ordered pairs
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Practice questions from similar books
Question 1
Let be the equivalence relation in the set of integer given by . Show that relation is transitive. Write the equivalence class .Question 2
Let be the set of all integers and be the set of all non-zero integers. Let a relation on be defined as follows:for all
Prove that is an equivalence relation on .
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Question Text | The minimum number of elements that must be added to the relation on the set of natural numbers so that it is an equivalence is |
Answer Type | Text solution:1 |
Upvotes | 150 |