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Show that the relation R in the set R of...

Show that the relation R in the set R of Real numbers defined as `R={(a,b):aleb^2}` is neither reflexive, nor symmetric, nor transitive.

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MAXIMUM PUBLICATION-RELATIONS AND FUNCTIONS-EXAMPLE
  1. ast' be a binary operation on NxxN defined as (a,b)ast(c,d)=(ac,bd) ...

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  2. ast' be a binary operation on NxxN defined as (a,b)ast(c,d)=(ac,bd) ...

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  3. Show that the relation R in the set R of Real numbers defined as R={(a...

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  4. Consider f:R^+to[-5, infty) given by f(x)=9x^2+6x-5. Show that f is ...

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  5. Let A=R-{3} and B=R-{1} consider the function f:AtoB defined by f(x)=f...

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  6. Let f:R-{(-4)/3}toR be a function defined b f(x)=frac(4x)(3x+4),xne-4/...

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  7. The relation R defined in the set A={-1,0,1} as R={(a,b):a=b^2} ...

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  8. The relation R defined in the set A={-1,0,1} as R={(a,b):a=b^2} ...

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  9. Let A={1,2,3}. Give an example of a relation on A which is Symmetric...

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  10. Let A={1,2,3}. Give an example of a relation on A which is Transitiv...

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  11. Find fog and gof if f(x)=abs(x) and g(x)=abs(3x+4)

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  12. Find fog and gof if f(x)=16x^4 and g(x)=x^(1/4)

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  13. Consider the binary operation ast : QtoQ where Q is the set of rationa...

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  14. Consider the binary operation ast : QtoQ where Q is the set of rationa...

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  15. Consider the binary operation ast : QtoQ where Q is the set of rationa...

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  16. ast' is a binary operation on R defined as aastb=2ab Determine whe...

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  17. ast' is a binary operation on R defined as aastb=2ab Find the iden...

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  18. ast' is a binary operation on R defined as aastb=2ab Find the inve...

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  19. Check if the following function satisfies the condition f^-1nef. f:R...

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  20. Which of the following satisfies the condition f^-1nef. f:RtoR,f(x)=...

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