Easy Multiple Choice Problems 5: The domain of a relation R is the set of real n

Question

Easy Multiple Choice Problems

5: The domain of a relation R is the set of real numbers. x is related to y under relation R if Ix + yl 2 2. Select the description that accurately describes relation R. a. Reflexive b. Anti-reflexive c. Neither reflexive nor anti-reflexive d. Transitive 6: The domain of a relation R is the set of real numbers. x is related to y under relation R if [xl S that accurately describes relation R. b. Anti-symmetric C. Anti-reflexive d. Neither symmetric nor anti-symmetric 7: The domain of a relation R is the set of integers. x is related to y under relation R if xy. Select the description that accurately describes relation R. a. Reflexive b. Anti-reflexive c. Symmetric d. Anti-symmetric

Explanation / Answer

Solution:

The first four subparts have been answered as per Chegg guidelines, please repost others.

5)

This relation is transitive.

Explanation:

since here a+b>=2

and b+c>= 2, then a+c>= 2

6)

Anti Reflexive

Explanation:

set of all real number cannot be related to themselves, since x<=|y|

7)

All of the above

The relation x^2 = y

is Reflexive, ANti-reflexive, symmetric and Antisymmetric.

28)

b)

A partial order and a total order

since the relation is

(1) reflexive,
(2) antisymmetric, and
(3) transitive.

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