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If R is the relation "less than" from A=...

If `R` is the relation "less than" from `A={1,2,3,4,5}` to `B={1,4,5},` write down the set of ordered pairs corresponding to `R`. Find the inverse of `R`.

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To solve the problem, we need to determine the set of ordered pairs for the relation "less than" from set A to set B, and then find the inverse of that relation. ### Step 1: Identify the sets We have: - Set A = {1, 2, 3, 4, 5} - Set B = {1, 4, 5} ### Step 2: Define the relation "less than" ...
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RD SHARMA-RELATIONS-Solved Examples And Exercises
  1. Let A be a non-empty set such that AxxB=AxxC . Show that B=C .

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  2. Let R be the relation on the set N of natural numbers defined by R={(a...

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  3. If R is the relation "less than" from A={1,2,3,4,5} to B={1,4,5}, writ...

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  4. A relation R is defined on the set Z of integers as: (x ,y) in R x^2...

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  5. For the relation R1 defined on R by the rule (a ,b) in R1:1+ab >...

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  6. Find the values of a\ a n d\ b ,\ if\ (3a-2,\ b+3)=(2a-1,\ 3)dot

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  7. If A={1,3,5}and B={2,3}, find AxxB and BxxA.

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  8. If A={1,2,3},\ B={3,4}a n d\ C={1,3,5} , find Axx(BuuC)

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  9. If A={1,2,3},\ B={3,4}a n d\ C={1,3,5} , find Axx(BnnC)

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  10. If A={1,2,3},\ B={3,4}a n d\ C={1,3,5} , find (AxxB)nn(AxxC)

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  11. If A={1,2},\ from the set AxxAxxA

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  12. If R is the set of all real numbers, what do the cartesian products R...

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  13. Let A and B be two sets such that AxxB consists of 6 elements. If thre...

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  14. Let A and B be two sets such that n(A)=5\ a n d\ n(B)=2,\ if\ a ,\ b ,...

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  15. If (a/3-1,\ b-1/3)=(5/3,2/3) , find the values of a\ a n d\ bdot

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  16. If the ordered pairs (x ,-1) and (5, y) belong to the set {(a , b): b=...

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  17. If (x+1,\ 1)=(3,\ y-2), find the value of x and y.

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  18. If a in {2,4,6,9}a n d\ b in {4,6, 18 , 27} , then from the set of al ...

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  19. if A={1,2} and B={1,3}, find AxxB\ a n d\ BxxA.

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  20. If A={1,2,3}a n d\ B={3,4}dot Find AxxB

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