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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: `Axx(BnnC)=(AxxB)nn(AxxC)`

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Given,`A={1,2},\ B={1,2,3,4},\ C={5,6}a n d\ D={5,6,7,8}`
Then,`(BnnC)`=`phi`
`Axx(BnnC)=phi`
Also` (AxxB)` has no common element with `(AxxC)`
Thus,`Axx(BnnC)=(AxxB)nn(AxxC)`
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Let A={1,2},B={1,2,3,4},C={5,6}and D={5,6,7,8}. Verify that: (i) Axx(B nn C)=(AxxB)nn(AxxC) . (ii) AxxC is a subset of BxxD .

Let A={1,2},B={1,2,3,4},C={5,6}andD={5,6,7,8}. Verity that: A xx C sub B xx D

If A={2} , B={5} , C={3,4,6} , then verify that Axx(BnnC)=(AxxB)nn(AxxC) .

Let A={1,2,3},B={3,4},C={4,5,6}, find Axx(BcapC)

Let A={1,2,3},B={3,4},C={4,5,6}, find Axx(BcupC)

Let A={x inW:xlt2},B={x inN:1ltxle4}" and "C={3,5} . Verify that: (i) Axx(BuuC)=(AxxB)uu(AxxC) (ii) Axx(BnnC)=(AxxB)nn(AxxC) Hint A={0,1},B={2,3,4}" and "C={3,5}.

Let A" "=" "{1," "2}dot" "B" "=" "{1," "2," "3," "4}," "C" "=" "{5," "6} and D" "=" "{5," "6," "7," "8} . Verify that (i) Axx (B nnC)" "=" "(A xxB) nn(A xxC) . (ii) A xxC" "i s" "a" "s u b s e t" "of" "B xxD .

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RD SHARMA-RELATIONS-Solved Examples And Exercises
  1. If A={2,3},\ B={4,5},\ C={5,6},\ \ find Axx(BuuC)

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

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

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

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

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

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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={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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  13. 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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  14. If A={1,2,3},\ B={4,5,6} Is the following ralation from A\ to\ B ? Giv...

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

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

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

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

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  20. Let R be a relation in N defined by R={(a , b); a , b in N\ a n d\ a=...

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