Determine whether the relations described by the conditions below are reflexive, symmetric, antisymmetric or transitive on...

Determine whether the relations described by the conditions below are reflexive, symmetric, antisymmetric or transitive on a set A = {1, 2, 3, 4}
- All ordered pairs of (x, y) such that x not Equal y.
- All ordered pairs of (x, y) such that y > 2.
- All ordered pairs of (x, y) such that x = y ± 1.
- All ordered pairs of (x, y) such that x = y².
- All ordered pairs of (x, y) such that x > y².

Solutions

Expert Solution

Colby Messinger answered 1 year ago

Next > < Previous

Related Solutions

Determine if the following is is reflexive, symmetric, antisymmetric and transitive and why? x relates y...

Determine if the following is is reflexive, symmetric, antisymmetric and transitive and why? x relates y <-> x divides y 2 (on all positive numbers)

For each of the properties reflexive, symmetric, antisymmetric, and transitive, carry out the following. Assume that...

For each of the properties reflexive, symmetric, antisymmetric, and transitive, carry out the following. Assume that R and S are nonempty relations on a set A that both have the property. For each of R complement (Rc), R∪S, R∩Sand R−1. determine whether the new relation must also have that property; might have that property, but might not; or cannot have that property. Any time you answer Statement i or Statement iii, outline a proof. Any time you answer Statement ii,...

For each of the properties reflexive, symmetric, antisymmetric, and transitive, carry out the following. Assume that...

For each of the properties reflexive, symmetric, antisymmetric, and transitive, carry out the following. Assume that R and S are nonempty relations on a set A that both have the property. For each of R complement, R∪S, R∩S, and R−1, determine whether the new relation must also have that property; might have that property, but might not; or cannot have that property. A ny time you answer Statement i or Statement iii, outline a proof. Any time you answer Statement...

Determine whether the relation R on the set of all people is reflexive, symmetric, antisymmetric, and/or...

Determine whether the relation R on the set of all people is reflexive, symmetric, antisymmetric, and/or transitive, where (a, b) ∈ R if and only if a) a is taller than b. b) a and b were born on the same day.

Let R be a relation on a set that is reflexive and symmetric but not transitive?...

Let R be a relation on a set that is reflexive and symmetric but not transitive? Let R(x) = {y : x R y}. [Note that R(x) is the same as x / R except that R is not an equivalence relation in this case.] Does the set A = {R(x) : x ∈ A} always/sometimes/never form a partition of A? Prove that your answer is correct. Do not prove by examples.

A JAVA program that will read a boolean matrix corresponding to a relation R and output whether R is Reflexive, Symmetric, Anti-Symmetric and/or Transitive.

A JAVA program that will read a boolean matrix corresponding to a relation R and output whether R is Reflexive, Symmetric, Anti-Symmetric and/or Transitive. Input to the program will be the size n of an n x n boolean matrix followed by the matrix elements. Document your program nicely.NOTE: The program must output a reason in the case that an input relation fails to have a certain property.

Argue with proof that whether following asymptotic notations are transitive, reflexive, or symmetric. O(n); o(n); Ω(n);...

Argue with proof that whether following asymptotic notations are transitive, reflexive, or symmetric. O(n); o(n); Ω(n); ω(n); ϴ(n)

For each of the following, determine whether the distribution described is more likely skewed right, skewed left, or relatively symmetric.

For each of the following, determine whether the distribution described is more likely skewed right, skewed left, or relatively symmetric.Number of sick days in the GC student populationSalaries for all players in the NFLNumber of cars owned per American citizenHeights of all females in the GC population

The following are at constant T and P. The conditions described in (a) and (b) below...

The following are at constant T and P. The conditions described in (a) and (b) below are initial conditions. Calculate Qc and CLEARLY indicate, with an arrow (“?”, or “?”) to which side the reaction must shift in order to attain equilibrium. (a) A 250.0-mL flask containing 0.0250 mol of NO(g), 0.0100 mol of Cl2(g), and 0.250 mol of NOCl: 2NO(g) + Cl2(g) ⇌ 2NOCl(g) Kc = 4.6 × 104 (b) A 5.00-L flask containing 35.0 g of NH3, 20.0...

A.For questions 1&2, determine whether each compound event described below is mutually inclusive, mutually exclusive, independent,...

A.For questions 1&2, determine whether each compound event described below is mutually inclusive, mutually exclusive, independent, or dependent. Explain your choice. 1. Rolling a 6 on a die and choosing a queen from a deck of cards. (See Ex. 2) 2. A teacher has a prize bag from which she will choose prizes for two students. The bag contains 8 tootsie rolls and 10 lollipops. She will choose for student 1, then for student 2. (See Ex. 3) B. Suppose...

Subjects