Two marks example problems II — task. Mathematics State Board, Class 10.

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The arrow diagram shows a relationship between the sets

$P$ and

$Q$ .

Write the relation in

(i) Set builder form

(ii) Roster form

(iii) What is the domain and range of

$R$ .

Answer:

(i) Set builder form of

$R =$

$\{(i, i) | i = i - i, i \in P, i \in Q\}$

(ii) Roster form of

$R =$

$\{(i, i), (i, i), (i, i)\}$

(iii) The domain of

$R =$

$\{i, i, i\}$ and the range of

$R =$

$\{i, i, i\}$

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6. Two marks example problems II