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})

Step-by-step explanation:

$$\begin{gathered} U=1,2,3,4,5,6 \\ A=1,3,5 \\ B=2,4,6 \\ C=3,6 \\ X=AUB \\ X=1,2,3,4,5,6 \end{gathered}$$

$$\begin{gathered} A^{\mathrm{\prime }}=U-A=2,4,6 \\ {B}^{\mathrm{\prime }}=U-B=1,3,5 \\ Y=A^{\mathrm{\prime }}U{B}^{\mathrm{\prime }} \\ Y=1,2,3,4,5,6 \end{gathered}$$

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