Question

dados os conjuntos A={2,3,4} B={5,6}C={3,4} determine A=(A U B) ∩ C

Answer 1

R=
A= {2, 3, 4}
B= {5, 6}
C= {3, 4}
 A=(AUB) ∩ C
A U B= { 2, 3, 4, 5, 6} ∩ C = {3, 4}
(AUB) ∩ C 
= { 3, 4}

Answer 2

.
$A=\{2,3,4\} \\ B=\{5,6\} \\ C=\{3,4\} \\ \\ (A\bigcup B) \bigcap C= \\ \\ \{2,3,4,5,6\} \bigcap \{3,4\} =\{3,4\}$