SOLUTION: Let U={1,2,3,4,5,6,7,8,9}, X={2,4,6,8}, Y={2,3,4,5,6}, Z={1,2,3,8,9}: Find X ⋂ (Y ′⋃ Z′)

Algebra ->  Probability-and-statistics -> SOLUTION: Let U={1,2,3,4,5,6,7,8,9}, X={2,4,6,8}, Y={2,3,4,5,6}, Z={1,2,3,8,9}: Find X ⋂ (Y ′⋃ Z′)      Log On


   



Question 1155107: Let U={1,2,3,4,5,6,7,8,9}, X={2,4,6,8}, Y={2,3,4,5,6}, Z={1,2,3,8,9}:
Find X ⋂ (Y ′⋃ Z′)

Answer by MathLover1(20849) About Me  (Show Source):
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Let U={1,2,3,4,5,6,7,8,9}, X={2,4,6,8}, Y={2,3,4,5,6}, Z={1,2,3,8,9}:
Find X ⋂ (Y ′⋃ Z′)
Y'--"Y' is complement", or "not Y"; if U = {1,2,3,4,5,6,7,8,9} and Y = {2,3,4,5,6} , then
Y ′= {1,7,8,9}
and
Z′= { 4,5,6,7}
then (Y ′⋃ Z′)={1,4,5,6,7,8,9}
X ⋂ (Y ′⋃ Z′)={2,4,6,8}⋂{1,4,5,6,7,8,9}={4,6,8}