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Prove that the relation "less than" in t...

Prove that the relation "less than" in the set of natural number is transitive but not reflexive and symmetric.

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The correct Answer is:
`{(-1,0),(-1,1),(0,2),(1,2)}`
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RESONANCE ENGLISH-RELATION, FUNCTION & ITF-SUBJECTIVE_TYPE
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  2. Attempt all questions. Each of 4 marks.(i) R = {(1,1)(2,2)(3,3)(4,4)(...

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  3. Prove that the relation "less than" in the set of natural number is tr...

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  4. Let A= {p, q, r}. Which of the following is an equivalence relation on...

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  5. Let R be a relation on the set N be defined by {(x,y)|x,yepsilonN,2x+y...

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  6. Let n be a fixed positive integer. Define a relation R on the set Z of...

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  7. Let S be a set of all square matrices of order 2 . If a relation R def...

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  8. Check whether the followings represent function or not (i) x^2 + y^2 =...

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  9. Check whether the following represent function or not x^(2)+y^(2)=36...

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  10. Check whether the following represent function or not x^(2)+y^(2)=36...

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  11. Check whether the following represent function or not x^(2)+y^(2)=36...

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  12. Find the domain of each of the following functions: f(x)=(x^(3)-5x+3)/...

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  13. Find the domain of the following functions: f(x)=sqrt(sin(cosx))

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  14. Find the domain of each of the following functions given by f(x)=1/(sq...

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  15. Find the domain of each of the following functions: f(x)=e^(x+sinx)

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  16. Find the domain of each of the following functions: f(x)=1/(log(10)(1-...

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  17. Find the domain of each of the following functions: f(x)=sqrt((log(2)(...

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  18. Find the domain of each of the following functions: f(x)=ln[x^(2)+x+1]...

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  19. Find the domain of each of the following functions: f(x)=(sqrt(cosx-1/...

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  20. Find the domain of definitions of the following function: f(x)=sqrt(3-...

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