SOLUTION: Let U = {1,2,3,4,5...} A = {1,2,3,4...} B = {4,8,12,16...} and C = {2,4,6,8...}. Determine the following B ∩ C

Algebra ->  Real-numbers -> SOLUTION: Let U = {1,2,3,4,5...} A = {1,2,3,4...} B = {4,8,12,16...} and C = {2,4,6,8...}. Determine the following B ∩ C       Log On


   

Question 764223: Let U = {1,2,3,4,5...} A = {1,2,3,4...}
B = {4,8,12,16...} and C = {2,4,6,8...}. Determine the following
B ∩ C
Answer by ramkikk66(644) About Me  (Show Source):
You can put this solution on YOUR website!

B is the set of all multiples of 4
C is the set of all multiples of 2

B ∩ C is the set of elements common to B and C

Since all multiples of 4 are also multiples of 2,

B ∩ C is the set B (multiples of 4) itself.

B ∩ C = B

:)