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Let A={1,2,3,4} and\ R={(a , b): a in A...

Let `A={1,2,3,4} and\ R={(a , b): a in A , b in A ,\ a` divides `b}` . Write `R` explicity.

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To find the relation \( R \) explicitly for the set \( A = \{1, 2, 3, 4\} \) where \( R = \{(a, b) : a \in A, b \in A, a \text{ divides } b\} \), we will follow these steps: ### Step 1: Identify the elements of set \( A \) The set \( A \) consists of the elements: \[ A = \{1, 2, 3, 4\} \] ### Step 2: Determine the ordered pairs \( (a, b) \) such that \( a \) divides \( b \) We will check each element \( a \) in \( A \) and find all \( b \) in \( A \) such that \( a \) divides \( b \). ...
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RD SHARMA-RELATIONS-Solved Examples And Exercises
  1. If A={1,2,3}a n d\ B={2,4}, find AxxB

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  2. Let A and B be two sets such that n(A)=3\ a n d\ n(B)=2. if\ (x ,1)...

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  3. Let A={1,2,3,4} and\ R={(a , b): a in A , b in A ,\ a divides b} . W...

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  4. State whether each of the following statements are true or false. If t...

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  5. If A={1,2}, form the set AxxAxxAdot

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  6. If A={1,2,4}a n d\ B={1,2,3} , represent following sets - AxxB

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  7. If A={1,2,4}a n d\ B={1,2,3} , represent following sets - AxxB

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  8. If A={1,2,4}a n d\ B={1,2,3} , represent following sets - AxxA

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  9. If A={1,2,4}a n d\ B={1,2,3} , represent following sets - BxxB

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  10. If A={2,3},\ B={4,5},\ C={5,6},\ \ find Axx(BuuC)

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  11. Let A={1,2},\ B={1,2,3,4},\ C={5,6}a n d\ D={5,6,7,8} . Verity that: A...

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  12. Let A={1,2},\ B={1,2,3,4},\ C={5,6}a n d\ D={5,6,7,8} . Verity that: A...

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  13. If A={1,2,3},\ B={3,4},\ C={4,5,6},\ fin d\ : Axx(BnnC)

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  14. If A={1,2,3},\ B={3,4,5},\ C={4,6},\ fin d\ :(AxxB)nn(AxxC)

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  15. If A={1,2,3},\ B={1,2,3,4},\ C={4,5,6},\ fin d\ : Axx(BuuC)

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  16. If A={1,2,3},\ B={1,2,3,4},\ C={4,5,6},\ fin d\ :(AxxB)nn(AxxC)

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  17. If A={a , b ,\ c , d},\ B={p , q , r , s} than is the following relati...

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  18. If A={a , b ,\ c , d},\ B={p , q , r , s} than Is the following relati...

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  19. If A={a , b ,\ c , d},\ B={p , q , r , s} than Is the following relati...

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  20. If A={a , b ,\ c , d},\ B={p , q , r , s} than is the following relati...

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