Exploring Sets: Computing A - B, B x C, AB and A(B-A)

[sapiental]

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!

 

[quasar987]

looks good, provided b. asks you to compute A x B x C and not B x C

 

[sapiental]

thanks!