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Will you check my solution to a relations question.

  1. Apr 13, 2013 #1
    1. The problem statement, all variables and given/known data
    I want to compose the relation "equality" with the relation "less than" in the form:
    equal o less than.


    2. Relevant equations



    3. The attempt at a solution
    Firstly I determine the y in (x,y) such that this is true. Graphically, it is just the values less below y=x.

    Next I apply the relation of equality, and I see that the z's in (y,z) are just the same values. So the composite relationship is just "less than".--graphically the same image.

    Is this correct? Thanks!
     
  2. jcsd
  3. Apr 13, 2013 #2

    Dick

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    Science Advisor
    Homework Helper

    That sounds right. The 'equality' relation is an identity under composition, yes?
     
  4. Apr 13, 2013 #3
    Yes it is. Thank you for your help :)
     
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