Subtracting cartesian products

[nicnicman]

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?

 

[SammyS]

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?

That looks fine to me.

 

[nicnicman]

Okay, thanks for the help!