# Intersect and conjuction

Let U={1,2,3,4,5,6}
A={1,3,5}
B={2,4,6}
C={3,6}

Find the following.
1. )AUB
2. )A'UB'

Result

X = (Correct answer is: {1,2,3,4,5,6})
Y = (Correct answer is: {1,2,3,4,5,6})

#### Solution:

$U=\{1,2,3,4,5,6\} \ \\ A=\{1,3,5\} \ \\ B=\{2,4,6\} \ \\ C=\{3,6\} \ \\ \ \\ X=AUB \ \\ \ \\ X=\{1,2,3,4,5,6\}$
$A'=U-A=\{2,4,6\} \ \\ B'=U - B=\{1,3,5\} \ \\ \ \\ Y=A' U B' \ \\ \ \\ Y=\{1,2,3,4,5,6\}$

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