Decide if the accompanying relations are reflexive, irreflexive, symmetric, antisymmetric, uneven, transitive, halfway requesting, absolute requesting, or
Question:
Decide if the accompanying relations are reflexive, irreflexive, symmetric, antisymmetric, uneven, transitive, halfway requesting, absolute requesting, or potentially identicalness connection. (No fractional focuses here. You really want to get every one of the properties right to get the focuses.)
1, The unfilled connection R = { } characterized on the regular numbers.
a, Reflexive
b, Irreflexive
c, Symmetric
d, Antisymmetric
e, Asymmetric
f, Transitive
g, Partial requesting
h, Total requesting
I, Equivalence connection
2, The total connection R = ??? characterized on the normal numbers.
a, Reflexive
b, Irreflexive
c, Symmetric
d, Antisymmetric
e, Asymmetric
f, Transitive
g, Partial requesting
h, Total requesting
I, Equivalence connection
3, The connection R on numbers where aRb implies (a - 2) < b.
a, Reflexive
b, Irreflexive
c, Symmetric
d, Antisymmetric
e, Asymmetric
f, Transitive
g, Partial requesting
h, Total requesting
I, Equivalence connection
4, The connection R on {w, x, y, z} where R = {(w, w), (x, y), (x, w), (x, x), (x, z), (y, y), (z, y), (z, z)}.
a, Reflexive
b, Irreflexive
c, Symmetric
d, Antisymmetric
e, Asymmetric
f, Transitive
g, Partial requesting
h, Total requesting
I, Equivalence connection
5, The connection R on the numbers where aRb implies a^2 = b^2
a, Reflexive
b, Irreflexive
c, Symmetric
d, Antisymmetric
e, Asymmetric
f, Transitive
g, Partial requesting
h, Total requesting
I, Equivalence connection
Extra guidelines from the understudy: satisfy only the response just like inquiry 1 a, b, c and so on and question 2, a, b like this supplications
Discrete Mathematics and Its Applications
ISBN: 978-0073383095
7th edition
Authors: Kenneth H. Rosen