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##### 2. If A=\{123456\} B=\{2468\} C=\{148\} . Prove the following identities:(i) A \cap B=B \cap A

6. Indicate relations into function one-one function onto function and bijective function from the following. Also find their domain and the range. In each part from (i) to (vi) the co-domain set is taken equal to the range set.(i) R_{1}=\{(11)(22)(33)(44)\}

Example 1: Suppose A=\{2345\} and B=\{2468\} .Form a relation R: A \rightarrow B=\{x R y such that y=2 x for x \in A y \in B\}

3. Find a and -b if(ii) (2 \mathrm{a}+53)=(7 \mathrm{~b}-4)

3. Find a and -b if(i) (a-4 b-2)=(21)

3. Find a and b if(iii) (3-2 a b-1)=(a-72 b+5)

2. If U=\{1234 \cdots 10\} A=\{13579\} ; B=\{14710\} ; C=\{15810\} then verify the following:(ii) (A \cap B) \cap C=A \cap(B \cap C)