Question

7. Relation is
of cross product.
O Subset
Superset
O Disjoint set
None of these​

Answer 1

Answer:

subset superset.....

.

I hope this helps you..........

Answer 2

Answer:

option (a) Subset.

Explanation:

Given: Relation is of cross product.

To find : what  is relation to cross product - a subset or superset or disjoint set or none of these.

Solution:

There is a definition as - A relation from a set A to a set B is a subset of the cartesian product A×B.

Cross product is called the cartesian product.

If A and B are sets, the Cartesian product of A and B is the set A×B.

The cartesian product of two sets A and B  is a set, and the elements of that set are ordered pairs (x, y) such that x belongs to A and y belongs to B.

A relation R from set A to set B is a subset of the Cartesian product A×B. The subset is derived by describing a relationship between elements of A×B.

Also, a relation is a set of ordered pairs. There won't be any relation between the components of the ordered pairs.

For example, Let A = { a, b, c} and B= {ant, elephant, beer}

Then A × B= {(a, ant),(a, elephant),(a, beer),(b, ant),(b, elephant),(b, beer),(c, ant),(c, elephant),(c, beer)}.

A×B has 9 elements. Now , if we put a condition (relation) that first letter of element in set B should be the element of set A.

So, we will get a new set { (a, ant), (b, beer)} and this set is a subset of A × B.

Thus, relation is a subset of cross product ( cartesian product).

Any set of ordered pairs is a relation.