Question
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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