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Question

If R be a relation < from A={1,2,3,4} to B={1,3,5} i.e., (a,b) R if a<b, then find ROR1

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Solution

A={1,2,3,4}
B={1,3,5}
R={(1,3),(1,5),(2,3),(2,5),(3,5),(4,5)}
R1={(3,1),(5,1),(3,2),(5,2),(5,3),(5,4)}

For composition ROR1, we will pick up an element of R1 first then of R.
eg: (3,1)R1 (1,3)R (3,3)ROR1
ROR1={(3,3),(3,5),(5,3),(5,5)}

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