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let u = {5, 6, 7, 8, 9, 10, 11, 12}, a = {6, 8, 10}, b = {5, 6, 9, 12}, and c = {5, 7, 11}. find the following. (enter your answers as a comma-separated list.)
$(c \cup b) \cup \varnothing$
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Explanation:

Step1: Find complement of B

$B' = U - B = \{5,6,7,8,9,10,11,12\} - \{5,6,9,12\} = \{7,8,10,11\}$

Step2: Find union of C and B'

$C \cup B' = \{5,7,11\} \cup \{7,8,10,11\} = \{5,7,8,10,11\}$

Step3: Union with empty set

$(C \cup B') \cup \emptyset = \{5,7,8,10,11\} \cup \emptyset = \{5,7,8,10,11\}$

Answer:

5, 7, 8, 10, 11