#### Term 2 - Set Language Two Marks Questions

9th Standard

Reg.No. :
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Maths

Time : 00:45:00 Hrs
Total Marks : 20
10 x 2 = 20
1. If A = {2, 3, 4, 5}, B = {2, 3, 5, 7} and C = {1, 3, 5}, then verify $A\cup (B\cup C)=(A\cup B)\cup C$.

2. If A=$\left\{ -\frac { 1 }{ 2 } ,0,\frac { 1 }{ 4 } ,\frac { 3 }{ 4 } ,2 \right\}$, B=$\left\{ 0,\frac { 1 }{ 4 } ,\frac { 3 }{ 4 } ,2,\frac { 5 }{ 2 } \right\}$ and C=$\left\{ -\frac { 1 }{ 2 } .\frac { 1 }{ 4 } ,1,2,\frac { 5 }{ 2 } \right\}$, then verify $A\cap (B\cap C)=(A\cap B)\cap C$ .

3. 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) $(Q\cap S)\cap R$

4. Test for the commutative property of union and intersection of the sets
P = { x:x is a real number between 2 and 7} and
Q = { x:x is an irrational number between 2 and 7}.

5. If A = {p,q,r,s}, B = {m,n,q,s,t} and C = {m,n,p,q,s}, then verify the associative property of union of sets.

6. Verify the associative property of intersection of sets for A =$\{ -11,\sqrt { 2 } ,\sqrt { 5 } ,7\}$, B=  $\\ \{ \sqrt { 3 } ,\sqrt { 5 } ,6,13\}$ and C=$\{ \sqrt { 2 } ,\sqrt { 3 } ,\sqrt { 5 } ,9\}$.

7. If A={ x : x = 2n, n $\in$ W and n<4}, B = {x : x = n, n  2 $\in$ N and n ≤ 4} and C = {0, 1, 2, 5, 6} , then verify the associative property of intersection of sets.

8. If A = {0, 2, 4, 6, 8},B ={x : x is a prime number and x < 11} and C={x:x$\in$N and 5 ≤ x < 9} then verify $A\cup (B\cap C)=(A\cup B)\cap (A\cup C)$.

9. State Associative property of sets.

10. State the formula to find $n\left( A\cup B\cup C \right)$