Determine whether the following relations are injective and/or subjective function. Find universe of the functions if they exist. i. A= v,w,x,y,z, B=1,2,3,4,5 R= (v,z),(w,1), (x,3),(y,5) ii. A = 1,2,3,4,5 B=1,2,3,4,5 R = (1,2),(2,3),(3,4),(4,5),(5,1)
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(I) Since R is mapping A to B. Then R must be of the form;
But, the first element of R, (v,z) does not obeya this rule. Thus R is not a relation. Hence it's neither injective nor surjective and has no inverse.
(II) Since for every