Question #58058

1 Any bunch of numbers is a _____ ,so long as the numbers come in pairs.
group
domain
axiom
relation

2 A ___ is just a set of ordered pairs.
sets
functions
partition
relation

3 Let N ={1,2,3,4,5, €¦ €¦ €¦.}, E = {2,4,6, €¦ €¦.}, F = {1,3,5, €¦ €¦..}. Then, {E,F} is a _____ of N.
functions
partition
relation
sets

4 A relation is a _____ ordering,if it is reflexive,anti- symmetric and transitive.
partial
complex
group
equal

5 A relation is a set of an ______ relation,if it is reflexive,transitive and symmetric.
simple
equal
balance
equivalence

Expert's answer

Answer on Question #58058 – Math – Discrete Math

Question

1. Any bunch of numbers is a ______, so long as the numbers come in pairs.

- group

- domain

- axiom

- relation

Solution

Any bunch of numbers is a relation, so long as the numbers come in pairs.

**Answer:** relation

Question

2. A ___ is just a set of ordered pairs.

- sets

- functions

- partition

- relation

Solution

A relation is just a set of ordered pairs.

**Answer:** relation

Question

3. Let N={1,2,3,4,5,a^a^a^},E={2,4,6,a^a^},F={1,3,5,a^a^}}N = \{1,2,3,4,5,\hat{a}\in \hat{a}\in \hat{a}\} , E = \{2,4,6,\hat{a}\in \hat{a}\} , F = \{1,3,5,\hat{a}\in \hat{a}\} \dots \}. Then, {E,F}\{E,F\} is a ___ of NN.

- functions

- partition

- relation

- sets

Solution

{E,F}\{E,F\} is a partition of NN.

**Answer:** partition.

Question

4. A relation is a ______ ordering, if it is reflexive, anti-symmetric and transitive.

- partial

- complex

- group

- equal

Solution

A relation is a partial ordering, if it is reflexive, anti-symmetric and transitive.

**Answer:** partial.

Question

5. A relation is a set of an ______ relation, if it is reflexive, transitive and symmetric.

- simple

- equal

- balance

- equivalence

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Solution

A relation is a set of an equivalence relation, if it is reflexive, transitive and symmetric.

Answer: equivalence.


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