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Let A = {1, 2, 3} and consider the relat...

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

A

reflexive but not transitive

B

reflexive but not symmetric

C

symmetric and transitive

D

neither symmetric not transitive.

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PRADEEP PUBLICATION-RELATIONS AND FUNCTIONS-EXERCISE
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  2. Let A = (a,b,c) and R = (a,a), (b,b), (c,c), (b,c), (a,b) be a relatio...

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

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

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

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

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  7. Let R be a relation on the set N of natural numbers defined by n R m i...

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  8. Let A = (1,2,3). Which of the following relations is a function from A...

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  9. Let A = (1,2,3) and B = (2,3,4), then which of the following is a func...

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

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  11. If the set A contains 5 elements and the set B contains 6 elements, th...

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  12. Set A has 3 elements and the set B has 4 elements. Then the number of ...

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  13. Let N be the set of natural numbers and the function f:N to N be defin...

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  14. Let f : R rarr R be defined by f(x) = 1/x AA x inR, then f is

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  15. Let f : R rarr R be defined by f (x) = x^2 - 3x + 4 for all x in R , ...

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  16. Let f: Rrarr R be defined as f(x) = 2x for all x in N , then f is

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  17. If f is a function from a set A to A, then f is invertible iff f is

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  18. Let f : R rarr R be defined by f(x) = 3x - 4, then f^-1 (x) =

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  19. Let f:[2, infty) to R be the function defined by f(x)=x^(2)-4x+5, then...

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  20. Let f : R rarr R be defined by f(x) = x^2 +1, then, f^-1(17) and f^-1 ...

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