Answer to Question #219602 in Discrete Mathematics for REE

Question

1. Let W ={1,2,….,8} Q = {2,4,6,8,10}, Y = {1,2,4,5,6,8,9}. Evaluate:
2. W union Y (2 marks)
   
3. Q intersection Y (2 marks)
   
4. Set Difference P minus Y (2 marks)
   
5. (W intersection Q) union Y

Answer 1

$W\cup Y=\{1,2,3,4,5,6,7,8,9\}$

$Q\cap Y=\{2,4,6,8\}$

$Y^c=\{3,7,10\}$.

So $P\setminus Y = P \cap Y^c=P\cap \{3,7,10\}$.

$W\cap Q=\{2,4,6,8\}$.

Hence $(W\cap Q)\cup Y=\{1,2,4,5,6,8,9\}=Y$