Five mark exercise problems I — task. Mathematics State Board, Class 9.

PDF chapter test TRY NOW

Answer variants:

$\{\}$

$\{\sqrt{3}, \sqrt{5}, \sqrt{6}\}$

$\{3, 4, 5, 6\}$

$\{3, 4, 5, 6, \sqrt{3}, \sqrt{5}, \sqrt{6}\}$

Test for the commutative property of union and intersection of the sets

$P = \{x: x \ \text{is a real number between} \ 2 \ \text{and} \ 7\}$ and

$Q = \{x: x \ \text{is a rational number between} \ 2 \ \text{and} \ 7\}$ .

Answer:

$P =$

and

$Q =$

(i) Commutative property of union of sets:

$P \cup Q =$

---- (

$1$ )

$Q \cup P =$

---- (

$2$ )

From (

$1$ ) and (

$2$ ),

$P \cup Q = Q \cup P$

Hence, we proved.

(ii) Commutative property of intersection of sets:

$P \cap Q =$

---- (

$3$ )

$Q \cap P =$

---- (

$4$ )

From (

$3$ ) and (

$4$ ),

$P \cap Q = Q \cap P$

Hence, we proved.

Did you find an error?

6. Five mark exercise problems I