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1.)The domain for relation R is the set {1,2,3,4,5,6}, and R = {(a,b) | a divides b}, select all of the following ordered pairs that

1.)The domain for relation R is the set {1,2,3,4,5,6}, and R = {(a,b) | a divides b}, select all of the following ordered pairs that are in R.

a) (1, 3)
b) (2, 5)
c) (3, 6)
d) (5,6)

2.) The domain of the relation L is the set of all real numbers. For x, y R, xLy if x < y. L is

a) reflexive
b) anti-reflexive
c) neither

3.) The domain of the relation L is the set of all real numbers. For x, y R, xLy if x < y. L is

a) symmetric
b) anti-symmetric
c) neither

4.)The domain of the relation L is the set of all real numbers. For x, y R, xLy if x < y. L is

a) transitive
b) not transitive

5.)Assume that (a, b), (b, c), (c, d), (d, e), and (e, a) are edges in a digraph. is a? There may be multiple answers.

a) walk
b) circuit
c) path
d) cycle

6.) Here are two relations defined on the set {a, b, c, d}:

S = { (a, b), (b,c), (d, a) }

R = { (a, a), (b, c), (b, d) }

Which of the following ordered pairs are in R S? There might be multiple answers.

a) (a, c)
b) (a, d)
c) (b, d)
d) (b, a)

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