Question

Let A= {2,4} and B= { 1, 3, 5 } and defined a relation U, V, W from A to B or follow: For all (x,y) Element E A*B , (x,y) E U means that y= x > 2 (x,y) E U means that y-1 = x/2 w= { ( 2,5) , (4,1) , (2,3) }

Answer 1

It appears that you've defined three relations, U, V, and W, from set A to set B. Let's clarify what each of these relations means:

1. **Relation U**: For all (x, y) in A * B (the Cartesian product of sets A and B), (x, y) is in U if and only if y = x > 2.

In other words, U contains pairs (x, y) where y is equal to x, and both x and y are greater than 2.

2. **Relation V**: For all (x, y) in A * B, (x, y) is in V if and only if y - 1 = x / 2.

V contains pairs (x, y) where y is one less than twice the value of x.

3. **Relation W**: W is explicitly defined as the set containing the following pairs: (2, 5), (4, 1), and (2, 3).

If you have any specific questions or tasks related to these relations, please provide further details, and I'll be happy to assist you accordingly.