Question

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?

Homework Answers

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
Show that the relation R={(1,1),(1,4),(2,2),(2,3),(3,3),(3,2),(4,1),(4,4)} is an equivalence relation and contrust the associated directed graph.
Show that the relation R={(1,1),(1,4),(2,2),(2,3),(3,3),(3,2),(4,1),(4,4)} is an equivalence relation and contrust the associated directed graph.
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.
show that the relation "≈" is reflexive, symmetric, and transitive on the class of all sets.
show that the relation "≈" is reflexive, symmetric, and transitive on the class of all sets.
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 given relation is an equivalence relation on {1,2,3,4,5}. If the relation is an...
Determine whether the given relation is an equivalence relation on {1,2,3,4,5}. If the relation is an equivalence relation, list the equivalence classes (x, y E {1, 2, 3, 4, 5}.) {(1,1), (2,2), (3,3), (4,4), (5,5), (1,3), (3,1), (3,4), (4,3)} If the relation above is not an equivalence relation, state that the relation is not an equivalence relation  and why. Example: "Not an equivalence relation. Relation is not symmetric" Remember to test all pairs in relation R
The subgroup relation ≤ on the set of subgroups G is reflexive, transitive, and anti-symmetric.
The subgroup relation ≤ on the set of subgroups G is reflexive, transitive, and anti-symmetric.
Consider the relation R defined on the set R as follows: ∀x, y ∈ R, (x,...
Consider the relation R defined on the set R as follows: ∀x, y ∈ R, (x, y) ∈ R if and only if x + 2 > y. For example, (4, 3) is in R because 4 + 2 = 6, which is greater than 3. (a) Is the relation reflexive? Prove or disprove. (b) Is the relation symmetric? Prove or disprove. (c) Is the relation transitive? Prove or disprove. (d) Is it an equivalence relation? Explain.
Prove that if the relation R is symmetric, then its transitive closure, t(R)=R*, is also symmetric....
Prove that if the relation R is symmetric, then its transitive closure, t(R)=R*, is also symmetric. Please provide step by step solutions
Construct a binary relation R on a nonempty set A satisfying the given condition, justify your...
Construct a binary relation R on a nonempty set A satisfying the given condition, justify your solution. (a) R is an equivalence relation. (b) R is transitive, but not symmetric. (c) R is neither symmetric nor reflexive nor transitive. (d) (5 points) R is antisymmetric and symmetric.
Consider the following relation on the set Z: xRy ? x2 + y is even. For...
Consider the following relation on the set Z: xRy ? x2 + y is even. For each question below, if your answer is "yes", then prove it, if your answer is "no", then show a counterexample. (i) Is R reflexive? (ii) Is R symmetric? (iii) Is R antisymmetric? (iv) Is R transitive? (v) Is R an equivalence relation? If it is, then describe the equivalence classes of R. How many equivalence classes are there?