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Let A={1,2},\ B={1,2,3,4},\ C={5,6}a n d...

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

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Let,`A×C={(1,5),(1,6),(2,5),(2,6)}`
`B×D={(1,5),(1,6),(1,7),(1,8),(2,5),(2,6),(2,7),(2,8),(3,5),(3,6),(3,7), (3,8),(4,5),(4,6),(4,7),(4,8)}`
We can observe that all the elements of set `A×C` are the elements of set `B×D`
Therefore `A×C` is a subset of `B×D`
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RD SHARMA-RELATIONS-Solved Examples And Exercises
  1. If A={1,2,4}a n d\ B={1,2,3} , represent following sets - BxxB

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

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

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

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

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

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

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

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

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

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  13. If A={1,3,5,7},\ B={2,4,6,8, 10} and let R={(1,8),(3,6),(5,2),(1,4)} b...

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  14. If R is a relation from set A={2,4,5} to set B={1,2,3,4,6,8} defined b...

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  15. If A={1,2,3},\ B={4,5,6} Is the following ralation from A\ to\ B ? Giv...

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  16. If A={1,2,3},\ B={4,5,6} Is the following relation from A\ to\ B ? Giv...

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  17. If A={1,2,3},\ B={4,5,6} Is the following relatios from A\ to\ B ? Giv...

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  18. If A={1,2,3},\ B={4,5,6} then, Is the following relation from A\ to\ ...

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  19. Let A={1,2,3,4,5,6}dot Define a relation R on set A by R={(x , y): y=x...

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  20. Figure 2.14 shows a relation R between the sets P\ a n d\ Q . Write th...

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