for each of these relations on the set {1, 2, 3, 4}, decide whether it is reflexive, symmetric, antisymmetric, or transitive. {(
1 answer:
Relationship R is not symmetric and is not reflexive, R is not an asymmetric relation, R is a transitive relation as represented in image.
What is a relation?
- Both the relationship and the function are fairly similar to one another. After learning about function and relation, we can then study how they differ from one another. This is how we can distinguish between relation and function.
- The connection can be viewed as a set of ordered pairs in discrete mathematics. The sets must not be empty in order for it to be used to connect an object through one set to the other. The relation may include two sets or more.
- The relation in mathematics is the connection between different sets of values. Assume that there are different pairs of ordered pairs, x and y.
If set x and set y are related, then set x's values are referred to as its domain while set y's values are referred to as its range.
Relationship R is not symmetric and is not reflexive, R is not an asymmetric relation, R is a transitive relation as represented in image.
Learn more about relation in discrete mathematics here:
#SPJ4
You might be interested in