3. Two mark exercise problems I

If \(P =\{1, 2, 5, 7, 9\}\), \(Q = \{2, 3, 5, 9, 11\}\), \(R = \{3, 4, 5, 7, 9\}\) and \(S = \{2, 3, 4, 5, 8\}\), then find (i) \((P \cup Q) \cup R\) (ii) \((P \cap Q) \cap S\) (iii) \((Q \cap S) \cap R\)

 

Answer:

 

(i) \((P \cup Q) \cup R =\)$\left\{i,i,i,i,i,i,i,i\right\}$

 

(ii) \((P \cap Q) \cap S =\) $\left\{i,i\right\}$

 

(iii) \((Q \cap S) \cap R =\)$\left\{i,i\right\}$

 

(Note: Enter the numbers in ascending order.)