Question

If the relation $ R:A\to B, $ where A = {1,2,3, 4} and B = {1,3,5} is defined by $ R=\{(x,y):x

• A. $ \{1,3),(1,5),(2,3),(2,5),(3,5),(4,5)\} $
• B. $ \{(3,1),(5,1),(5,2),(5,3),(5,4)\} $
• C. $ \{(3,3),(3,5),(5,3),(5,5)\} $
• D. None of the above

Answer 1

Answer: (C)

$ \because $ $ R=\{(1,3),(1,5),(2,3),(2,5),(3,5),(4,5)\} $ and $ {{R}^{-1}}=\{(3,1),(5,1),(3,2),(5,2),(5,3),(5,4)\} $ Thus, $ {{R}^{-1}}oR=\{(3,5),(5,5),(3,3),(5,3)\} $