SOLUTION: So we are working on sets and probability and I'm completely lost. HELP please! Let U = {-8, -4, -2, 2, 5, 8, 10, 13, 17, 18}, A = {-8, -2, 5, 10, 17}, B = {-4, 2, 8, 13, 18},

Algebra ->  Probability-and-statistics -> SOLUTION: So we are working on sets and probability and I'm completely lost. HELP please! Let U = {-8, -4, -2, 2, 5, 8, 10, 13, 17, 18}, A = {-8, -2, 5, 10, 17}, B = {-4, 2, 8, 13, 18},       Log On


   



Question 920171: So we are working on sets and probability and I'm completely lost. HELP please!
Let U = {-8, -4, -2, 2, 5, 8, 10, 13, 17, 18}, A = {-8, -2, 5, 10, 17}, B = {-4, 2, 8, 13, 18}, and C = {-8, -4, 2, 5, 13, 17}. Find each set. (Enter ∅ for the empty set.)
(a) C ∩ Cc

Correct: Your answer is correct.



(b) (A ∩ C)c



(c) A ∪ (B ∩ C)


Answer by richard1234(7193) About Me  (Show Source):
You can put this solution on YOUR website!
Do you know what ∩ (intersection) and ∪ (union) are?

A ∩ B := set of all elements that are in A *and* B

A ∪ B := set of all elements that are in A *or* B (or both)

The lowercase c denotes "complement" in this case (relative to U, universe), i.e. X^c gives the set of elements in the universe U that are *not* in X.

Given these definitions, the problems are very straightforward.