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Write the set {(1)/(2),(2)/(3),(3)/(4),(...

Write the set `{(1)/(2),(2)/(3),(3)/(4),(4)/(5),(5)/(6),(6)/(7)}` in the set-builder form.

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If A=[((2)/(3), 1,(5)/(3)),((1)/(3), (2)/(3), (4)/(3)),((7)/(3), 2, (2)/(3))] and B=[((2)/(5), (3)/(5), 1),((1)/(5), (2)/(5), (4)/(5)),((7)/(5),(6)/(5),(2)/(5))] , then compute 3A-5B .

Write P = {2, 4, 8, 16, 32, 64} in set builder form.

|{:(2,3,4),(3,4,5),(4,5,6):}|=0

Let the relation R on set A = {1,2,3,4,5} be defined as follows: R={(1,2),(2,1),(2,2),(3,3),(4,1),(2,4),(4,2),(1,5),(5,1),(5,5)} Then state which one is true in each of the following two cases

The value of the determinant |(5^(2),5^(3),5^(4)),(5^(3),5^(4),5^(5)),(5^(4),5^(6),5^(7))| is -

|{:(1,2,3),(4,5,6),(3,2,2):}|

|{:(1,3,5),(2,4,3),(4,6,7):}|

|{:(2,3,4),(5,6,1),(3,2,3):}|

Write the following sets in the set-builder form : {2, 4, 6, . . .}

Write the set A = {1, 4, 9, 16, 25, . . . }in set-builder form.

NCERT BANGLISH-SETS-MISCELLANEOUS EXERCISE ON CHAPTER 1
  1. Write the set {(1)/(2),(2)/(3),(3)/(4),(4)/(5),(5)/(6),(6)/(7)} in the...

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  2. Decide, among the following sets, which sets are subsets of one and a...

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  3. In each of the following, determine whether the statement is true or f...

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  4. In each of the following, determine whether the statement is true or f...

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  5. In each of the following, determine whether the statement is true or f...

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  6. In each of the following, determine whether the statement is true or f...

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  7. In each of the following, determine whether the statement is true or f...

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  8. In each of the following, determine whether the statement is true or f...

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  9. Let A, B, and C be the sets such that A ∪ B = A ∪ C and A ∩ B = A ∩ C....

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  10. Show that the following four conditions are equivalent : A ⊂ B

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  11. Show that the following four conditions are equivalent : A – B = φ

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  12. Show that the following four conditions are equivalent : A ∪ B = B

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  13. Show that the following four conditions are equivalent : A ∩ B = A

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  14. Show that if A ⊂ B, then C – B ⊂ C – A.

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  15. Assume that P ( A ) = P ( B ). Show that A = B

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  16. Is it true that for any sets A and B, P ( A ) ∪ P ( B ) = P ( A ∪ B )?...

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  17. Show that for any sets A and B, A = ( A ∩ B ) ∪ ( A – B ) and A ∪ ...

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  18. Using properties of sets, show that A ∪ ( A ∩ B ) = A

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  19. Using properties of sets, show that A ∩ ( A ∪ B ) = A.

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  20. Show that A ∩ B = A ∩ C need not imply B = C.

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  21. Let A and B be sets. If A ∩ X = B ∩ X = φ and A ∪ X = B ∪ X for some s...

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