Determine whether the relation R is reflexive, symmetric,
antisymmetric, and/or transitive [4 Marks]
22
The relation...
Determine whether the relation R is reflexive, symmetric,
antisymmetric, and/or transitive [4 Marks]
22
The relation R on Z where (?, ?) ∈ ? if ? = ? .
The relation R on the set of all subsets of {1, 2, 3, 4} where
SRT means S C T.
Consider the relation R= {(1,2),(2,2),(2,3),(3,1),(3,3)}. Is R
transitive, not reflexive, symmetric or equivalence relation?
Consider the relation R= {(1,2),(2,2),(2,3),(3,1),(3,3)}. Is R
transitive, not reflexive, symmetric or equivalence relation?
Show that reflexive sentences are independent from symmetric,
and transitive sentences by constructing a structure that...
Show that reflexive sentences are independent from symmetric,
and transitive sentences by constructing a structure that satisfy
symmetric and transitive quality but not reflexive.
Reflexive :∀xE(x, x)
symmetric :∀xy(E(x, y) → E(y, x))
transitive: ∀xyz(E(x, y) ∧ E(y, z) → E(x, z))
Show that symmetric sentences are independent from reflexive,
and transitive sentences by constructing a structure that...
Show that symmetric sentences are independent from reflexive,
and transitive sentences by constructing a structure that satisfy
transitive and reflexive quality but not symmetric.
Reflexive :∀xE(x, x)
symmetric :∀xy(E(x, y) → E(y, x))
transitive: ∀xyz(E(x, y) ∧ E(y, z) → E(x, z))
Disprove: The following relation R on set Q is either reflexive,
symmetric, or transitive. Let t...
Disprove: The following relation R on set Q is either reflexive,
symmetric, or transitive. Let t and z be elements of Q. then t R z
if and only if t = (z+1) * n for some integer n.
Determine whether the following is reflexive, symmetric,
antisymmetric, transitive, and/or a partial order:
(x, y) ∈...
Determine whether the following is reflexive, symmetric,
antisymmetric, transitive, and/or a partial order:
(x, y) ∈ R if 3 divides x – y
Give examples of the following relationships:
a) A transitive and symmetrical relationship, but not
reflexive.
b)...
Give examples of the following relationships:
a) A transitive and symmetrical relationship, but not
reflexive.
b) A symmetric and reflexive relationship, but not
transitive.
c) An antisymmetric and thoughtless relationship.