cercise 2. Give an example of a relation R on A = {1,2,3} that is neither reflexive or irreflexive.

Q: For each relation, indicate whether the relation is: • Reflexive, anti-reflexive, or neither •…

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Q: 18. For what value of x will make the relation {(2,5), (9, 7), (x – 7,9), (18, 11)} a function? 16…

A: We find the value of x that will make the relation {(2,5), (9,7), (x – 7,9). (18, 11)} a function.

Q: Let R be the relation {(1,2), (1,3), (2,3), (2,4), (3,1)} and let S be the relation {(2,1), (3,1),…

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Q: 4. Let R be the relation {(1, 2), (1, 3), (2, 3), (2, 4), (3, 1)), and let S be the relation {(2,…

A: To find the composition of two relations R and S . the domain of S°R will be same as domain of R…

Q: Relations Let I be a set of sports teams: T= {Red Sox, Patriots, Spurs, Blackhawks, Giants, Celtics…

A: Given that the relation A ('affiliated') is defined as x affiliated with y means x and y won…

Q: Below is the arrow diagram for relation S with the domain {a, b, c, d}. Define relation T to be So…

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Q: Draw the arrow diagram for the relation. The domain for the relation A is the set (2, 5, 7, 8, 11}.…

A: Given a set A=2,5,7,8,11 & the relation on A is defined as if x is related to y then x-y<2.

Q: Suppose that the relation R is reflexive. Show that R* is reflexive.

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Q: 10. (4 points) Give an example of a relation that is both symmetric and anti- symmetric.

A: Step 1: relation define on set of natural number N as follows x is related to y iff x=y Step 2 : let…

Q: (a) Write a set of ordered pairs (x, y) that defines the relation.

A: Let us denote Boise=B, Miami=M, Springfield=S, Bermimgham=Br and variable for them be x. Their…

Q: Let S = {a, b, c}. Then R = {(a, b)} is a relation on S. Which of the properties reflexive,…

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Q: Let A = {1, 2, 3}, B = {a, b, c), and C = {6, 8}. Let R = {(1, a), (2, c), (3, b)} be a relation…

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