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MTH405 Elementary Topics in Pure Mathematics Assignment No 01 Fall 2019 Solution & Discussion

MTH405 Elementry Topics in pure Mathematics Assignment 1 Solution & Discussion Fall 2019


Q1: Show that the operation  \circ  which is defined by x\,\, \circ \,y\,\, = \,\,x\,\, + \,\,y\,\, - \,\,x\,y\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,for\,\,all\,\,\,x,\,\,y\,\, \in \,N   is NOT a binary operation on N.

 

Q2: Show that the set\,\left\{ {\,1,\, - 1\,} \right\} is a group under the binary operation of multiplication.

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