b) For each of the following, let A and B be some sets, both subsets of universal set U ={x|x is an integer}. If the statement is true, explain why. If it's false, give an example of Aand B which would make it false.- If ACB, then An B = A.- If An B = Ø, then A = 0.If A CB, then B' CA'.- (AUB)' = A'n B'. Answer the following.a) For sets A, B, C justify the following formula:n(AUBUC) = n(A) + n(B) + n(C) – n(A^B) – n(ANC) - n(BC) + n(An BnC)Your answer does not have to be mathematically rigorous, but it should reasonably justifywhy the equation is true. It may help to look at a Venn diagram using 3 sets and compare itto the similar "addition principle" formula that we discussed for two sets.3

Please see the below picture for detailed solution.

b) For each of the following, let A and B be some sets, both subsets of universal set U = {x|x is an integer}. If the statement is true, explain why. If it's false, give an example of A and B which would make it false. - If ACB, then AnB = A. - If An B = 0, then A = 0. - If ACB, then B'CA'. - (AUB)' = A'n B'.

b) For each of the following, let A and B be some sets, both subsets of universal set U = {x|x is an integer}. If the statement is true, explain why. If it's false, give an example of A and B which would make it false. - If ACB, then AnB = A. - If An B = 0, then A = 0. - If ACB, then B'CA'. - (AUB)' = A'n B'.

Calculus For The Life Sciences

2nd Edition

ISBN:9780321964038

Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Chapter12: Probability

Section12.CR: Chapter 12 Review

Problem 3CR

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