Let R1 = {(1, 2), (2, 3), (3, 4)} and R2 = {(1, 1), (1, 2),(2, 1), (2, 2), (2, 3), (3, 1), (3, 2), (3, 3), (3, 4)} be relations from {1, 2, 3} to {1, 2, 3, 4}. Find
b) R1 ∩ R2.
c) R1 − R2.
So with b). Does this mean the ordered pairs in R1 and R2?
And with c) does this mean the sets in R1 that are not in R2?
What does the part of the problem, " be relations
from {1, 2, 3} to {1, 2, 3, 4}" mean?
Yes.
Well, "ordered pairs", not "sets" but yes.And with c) does this mean the sets in R1 that are not in R2?
A "relation from set A to set B" is a set of ordered pairs in which the first member of each pair is in A and the second member is in B.What does the part of the problem, " be relations
from {1, 2, 3} to {1, 2, 3, 4}" mean?
So, here, "relations from {1, 2, 3} to {1, 2, 3, 4}" are sets of ordered pair where the first member of each pair one of 1, 2, or 3 and the second member is one of 1, 2, 3, or 4. You should see that this is true for the given relations.