Total Marks: 10
Due Date: November 25, 2019.
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Show that the operation which is defined by
is NOT a binary operation on N.
Show that the set is a group under the binary operation of multiplication.
Show that the operation which is defined by
is NOT a binary operation on N.
Q. 1 Solution:
When x + y is less than xy, then x + y - xy does not belong to N.
So it is not a binary operation on N.
Show that the set fbafc6b9-c88d-49e2-8d4c-bf3d558f731c-image.png is a group under the binary operation of multiplication.
Q. 2 Solution:
Hence G ={1,-1} is a group , since all the axioms of the group are satisfied on G={1,-1} with respect to binary operation multiplication.
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