How do you compute A - B, B x C, AB, and A(B-A) for given sets?

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SUMMARY

The discussion focuses on computing set operations for given sets A = {1,3,5,6}, B = {3,5}, and C = {a,b,c}. The results are as follows: A - B yields {1,6}, the Cartesian product B x C results in a set of 15 ordered pairs, AB equals {3,5}, and A(B-A) results in the null set. The clarification that the computation should involve A x B x C instead of B x C is noted as a critical point for accurate problem-solving.

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Homework Statement



Let A = {1,3,5,6}, B = {3,5} and C = {a,b,c}

Compute

a. A - B
b. B x C (cartesian product)
c. AB
d. A(B-A)



Homework Equations



Table of set computation in text

The Attempt at a Solution



a. = {1,6}
b. = {(1,3,a),(1,3,b),(1,3,c),(1,5,a),(1,5,b),(1,5,c),(3,3,a),(3,3,b),(3,3,c),(3,5,a),(3,5,b),(3,5,c),
(5,3,a),(5,3,b),(5,3,c),(5,5,a),(5,5,b),(5,5,c),(6,3,a),(6,3,b),(6,3,c),(6,5,a),(6,5,b),(6,5,c)}
c. = {3,5}
d. = null set

First time working with sets, any support helps. Thanks!
 
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looks good, provided b. asks you to compute A x B x C and not B x C
 
thanks!
 

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