Question 2 Composite relations can be thought of as composite functions. If S is a relation from set A to B, and R from B to C, then composite relation Ro S passes an input acA first to S, then passes...

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Question 2<br>Composite relations can be thought of as composite functions. If S is a relation from set A to B,<br>and R from B to C, then composite relation Ro S passes an input acA first to S, then passes the<br>return beB to R, and finally returns the output ceC, resulting in the set of pairs (acA, ceC).<br>Relations R and S are shown below:<br>• R = {(1,2), (2, 3), (2, 4), (3, 3), (4, 1)}<br>• S= {(1,1), (1, 4), (2, 3), (2, 4), (3, 1), (4, 4)}<br>Write the sets of pairs of composite relations (i) Ro R and (ii) Ro S.<br>Question 3<br>Let R and S be relations from A to B. Prove (R C S) = (R-1C s-1).<br>1<br>

Extracted text: Question 2 Composite relations can be thought of as composite functions. If S is a relation from set A to B, and R from B to C, then composite relation Ro S passes an input acA first to S, then passes the return beB to R, and finally returns the output ceC, resulting in the set of pairs (acA, ceC). Relations R and S are shown below: • R = {(1,2), (2, 3), (2, 4), (3, 3), (4, 1)} • S= {(1,1), (1, 4), (2, 3), (2, 4), (3, 1), (4, 4)} Write the sets of pairs of composite relations (i) Ro R and (ii) Ro S. Question 3 Let R and S be relations from A to B. Prove (R C S) = (R-1C s-1). 1

Jun 11, 2022
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