Question 864604
B ∩ C is the set of things that are in BOTH set B AND set C



Only the number 5 is in BOTH set B AND set C. So this means B ∩ C = {5}



A ∪ (B ∩ C) turns into A ∪ {5}



That turns into {1, 2, 3, 4} &#8746; {5} after you replace A with what it is defined to be. Finally you combine the two sets to get this final answer <font color="red">{1, 2, 3, 4, 5}</font>



This means,  A &#8746; (B &#8745; C) = <font color="red">{1, 2, 3, 4, 5}</font>



Note: we remove any duplicates. Since there are none, we don't have to worry about that for now.