1. Determine whether each of the following relations are reflexive, symmetric, and/or transitive. a) Let A be the set of

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1 Determine Whether Each Of The Following Relations Are Reflexive Symmetric And Or Transitive A Let A Be The Set Of 1 (28.37 KiB) Viewed 32 times

1. Determine whether each of the following relations are reflexive, symmetric, and/or transitive. a) Let A be the set of all lines in the plane and R the relation defined by, for all lines 11 and 12, 4, Rl2 if and only if I and ly are perpendicular. b) Let B = {0, 1, 2, 3) and S the relation S = {(0,0), (0,1),(1,1),(1,2), (2, 2), (2,3), (3,3)}. 2. Let X = {1,2,3) and define a relation R on the power set of X as follows: For all A, B e P(X), ARB if and only if AB+0. a) Write out two elements of relation R b) Is R a function? Why or why not? c) Given X was a 3 element set, how many relations could possibly be defined on X? a