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Let * be a binary operation on the set Q...

Let * be a binary operation on the set Q of rational numbers as follows : `a*b = (ab)/4 find is it commutative.

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Let ∗ be a binary operation on the set Q of rational numbers as follows: a*b=(ab)^2 find is it commutative?

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MODERN PUBLICATION-RELATIONS AND FUNCTION-EXAMPLE
  1. Let ∗ be a binary operation on the set Q of rational numbers as follow...

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  2. Let ∗ be a binary operation on the set Q of rational numbers as follow...

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  3. Let * be a binary operation on the set Q of rational numbers as follow...

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  4. Let ∗ be a binary operation on the set Q of rational numbers as follow...

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  5. Find which of the operations are commutative and which are associative...

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  6. Let '*' be a binary operation defined on Q. Find which of the followin...

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  7. let A = N xxN and * be the binary operation on A defined by : (a,b) * ...

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  8. State whether the following statements are true or false. Justify . Fo...

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  9. State whether the following statements are true or false. Justify. If ...

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  10. Consider a binary operation ∗ on N defined as a * b = a^3 + b^3 Choose...

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  11. Let f : RrarrR , be defined as f(x) = 10x + 7. Find the function g : ...

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  12. Let f : WrarrW, be defined as f (n) = n – 1, if n is odd and f (n) = ...

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  13. If f : R rarr R is defined by f(x) = x^2 - 3x + 2, find f(f(x)).

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  14. Show that the function f : Rrarr {x in R : – 1 < x < 1} defined by f(x...

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  15. Show that the function f : R rarr R given by f(x) =x^2 is injective.

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  16. Give examples of two functions f : NrarrZ and g : ZrarrZ such that g ...

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  17. Give examples of two functions f : NrarrN and g : NrarrN such that g o...

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  18. Given a non empty set X, consider P(X) which is the set of all subsets...

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  19. Given a non - empty set, X , consider the binary operation ** : P(X) x...

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  20. Find the number of all onto functions formthe set {1,2,3,….,n} to itse...

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