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    • zareen

      SOLVED MTH405 Assignment 1 Solution and Discussion
      MTH405 - Elementary Topics in Pure Mathematics • mth405 assignment 1 solution discussion fall 2019 • • zareen

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      zareen

      @zareen said in MTH405 Assignment 1 Solution and Discussion:

      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:

      ec6445ed-0169-4c89-80d0-895262fc6049-image.png

      93643cde-f437-47ce-bd11-280b9c654e27-image.png

      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.

    • zareen

      MTH405 Assignment 2 Solution and Discussion
      MTH405 - Elementary Topics in Pure Mathematics • mth405 assignment 2 solution discussion fall 2019 • • zareen

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      zareen