$$ U=1,2,3,4,5,6,7,8,9,10,11,12 $$ $$ \mathrm{~A}= $$ set of all even numbers in $$ U $$ that are less than 4 $$ \mathrm{~B}= $$ the set of all numbers in $$ U $$ that are less than 8 Given a set $$ S, S^{c} $$ denotes the complement of $$ S $$. Find each of the following sets. Enter your answer by listing the elements in increasing order, separated by commas. Do not put a comma after the last number. If the set is empty, enter DNE. $$ A \cup B=\{ $$ $$ A \cap B=\{ $$ $$ A^{c} \cup B=\{ $$ $$ B \cup A=\{ $$

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1. $$ A \cup B = \{ 1, 2, 3, 4, 5, 6, 7 \} $$ 2. $$ A \cap B = \{ 2 \} $$ 3. $$ A^{c} \cup B = \{ 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12 \} $$ 4. $$ B \cup A = \{ 1, 2, 3, 4, 5, 6, 7 \} $$

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