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True or False statements : The functio...

True or False statements :
The function `f : R rarr R` defined by f(x) = 3x - 2 is a bijection.

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PRADEEP PUBLICATION-RELATIONS AND FUNCTIONS-EXERCISE
  1. Let R be a relation from a set A to a set B, then:

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  2. True or False statements : Composition of functions is associative.

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  3. True or False statements : The function f : R rarr R defined by f(x)...

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  4. Let f : A rarr B and g : B rarr C be onto functions, show that gof is ...

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  5. Let f : A rarr B and g : B rarr C be onto functions, show that gof is ...

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  6. For all sets A, B and C, if A⊂ C and B ⊂ C,then A∪ B ⊂ C.

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  7. Match the following : .

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  8. Consider the set A = (a,b). The smallest equivalence relation that can...

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  9. Consider the set A = (1,2). Which of the following relations on A is s...

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  10. Let A be a finite set containing n distinct elements. The number of re...

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  11. Let T be the set of all triangles in the Euclidean plane, and let a re...

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  12. Consider the non-empty set consisting of children in a family and a re...

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  13. If a relation R on the set {1, 2, 3} be defined by R = {(1, 2)}, then ...

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  14. Let R be a relation defined by R = {(a, b) : a ge b}, where a and b a...

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  15. Let R be the relation defined on the set N of natural numbers by the r...

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  16. Let A = (a,b,c) and R = (a,a), (b,b), (c,c), (b,c), (a,b) be a relatio...

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  17. Let A = {1, 2, 3} and consider the relation, R = {1, 1}, (2, 2), (3, 3...

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  18. The maximum number of equivalence relations on the set A = {1, 2, 3} a...

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  19. Let A = (1,2,3) and R = (1,1), (2,2), (1,2), (2,1), (1,3) then R is

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  20. Let A = {1, 2, 3}, which of the following is not an equivalence relati...

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