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  1. S

    Prove transitive (Relations and functions)

    Homework Statement Question 5 of attached photo Homework Equations (a,b)R(c,d) and (c,d)R (e,f) implies (a,b)R(e,f) The Attempt at a Solution Attached photo[/B]
  2. eseefreak

    Reflexive, Symmetric, Transitive - Prove related problem

    Homework Statement Let A=RxR=the set of all ordered pairs (x,y), where x and y are real numbers. Define relation P on A as follows: For all (x,y) and (z,w) in A, (x,y)P(z,w) iff x-y=z-w Homework Equations R is reflexive if, and only if, for all x ∈ A,x R x. R is symmetric if, and only if, for...