If A = {3, 5, 7, 9, 11}, B = {7, 9, 11, 13} and C = {11, 13, 15}, and D = {15, 17}, find:

Question:

If A = {3, 5, 7, 9, 11}, B = {7, 9, 11, 13} and C = {11, 13, 15}, and D = {15, 17}, find:

(i) $A \cap B$

(ii) $A \cap C$

(iii) $\mathbf{B} \cap \mathbf{C}$

(iv) $B \cap D$

(v) $B \cap(C \cup D)$

(vi) $A \cap(B \cup C)$ 

Solution:

Given; A = {3, 5, 7, 9, 11}, B = {7, 9, 11, 13} and C = {11, 13, 15}, and D = {15, 17}

(i) $A \cap B=\{7,9,11\}$

(ii) $A \cap C=\{11\}$

(iii) $\mathrm{B} \cap \mathrm{C}=\{11,13\}$

(iv) $B \cap D=\Phi$ or \{\}

(v) $B \cap(C \cup D)=\{11,13\}$

(vi) $A \cap(B \cup C)=\{7,9,11\}$

 

Leave a comment

Close
faculty

Click here to get exam-ready with eSaral

For making your preparation journey smoother of JEE, NEET and Class 8 to 10, grab our app now.

Download Now