The problem involves calculating the difference between two Cartesian products: (A x B) and (B x C) where A = {1, 2}, B = {3, 4}, and C = {3}. The solution correctly identifies (A x B) as {(1, 3), (1, 4), (2, 3), (2, 4)} and (B x C) as {(3, 3), (4, 3)}. Since there are no overlapping elements between these two sets, the final result remains (A x B), confirming the solution is accurate.
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That looks fine to me.nicnicman said:Homework Statement
Let A = {1, 2}, B = {3, 4}, C = {3}
What is (A x B) - (B x C)?
Homework Equations
The Attempt at a Solution
(A x B) - (B x C) = {(1, 3), (1, 4), (2, 3), (2, 4)} - {(3, 3), (4, 3)}
= {(1, 3), (1, 4), (2, 3), (2, 4)}
Since there where no elements in (B x C) that matched any elements in (A x B), I just kept the final answer equal to (A x B).
Would this be the correct way to do this?