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)
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Solution:
Given, A= v,w,x,y,z, B=1,2,3,4,5
R= (v,z),(w,1), (x,3),(y,5)
Clearly, R does not contain any element for z in A. Thus, it is neither injective nor surjective.
Hence, its inverse won't exist.