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Let A = {x in w / 3 lt x lt 7 }, B = {...

Let A = {x `in` w / 3 `lt` x `lt` 7 },
B = {x `in` N/0 `lt` x `lt` 3 }, C = {x `in` w/x `lt` 2} verify A `xx (B cap C ) = (A xx B) cap (A xx C)`

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`A xx (B cap C ) = (A xx B ) cap (A xx C)`
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FULL MARKS-RELATIONS AND FUNCTIONS -ADDITIONAL QUESTIONS SOLVED (ANSWER THE FOLLOWING QUESTIONS)
  1. If A = {2,3,5} and B = {1,4} then find (i) A xx B (ii) B xx A

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  2. If A xx B = {(a,x)(a,y),(b,x),(b,y),(c,x)(c,y)} then find A and B

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  3. Let A = {x in w / 3 lt x lt 7 }, B = {x in N/0 lt x lt 3 }, C = {x i...

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  4. Let A = {10,11,12,13,14} , B = {0,1,2,3,5} and f(i) : A rarr B , I = ...

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  5. If X = {1,2,3,4,5}, Y = {1,3,5,7,9} determins which of the following r...

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  6. A = { -2,-1,1,2} and f = { ( x , (1)/(x) ) : x in A }. Write down th...

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  7. Let A = { 5,6,7,8} , B = {-11,4,7,-10,-7-9,-13} and f = {(x,y): y = ...

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  8. Let A={1, 2, 3, 4, 5}, B=N and f: A to B be defined by f(x)=x^(2). Fin...

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  9. Find the domain and range of the following (i) f = {(1,2),(2,3),(3,...

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  10. Given P = {-2,-1,0,1} Q= {1,-2,6,-3} R = {x,y/y = x^(2) - 3 x in P...

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  11. Given f(x) = 3x - 2 , g(x) = 2x^(2) find (i) fog and (ii) gof what d...

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  12. If f : R rarr R is defined by f (x) = ax + 3 and g : R rarr R is def...

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  13. Given f(x) = 3 + x : g(x) = x^(2) h(x) = (1)/(x) find fo (goh)

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  14. If f(x) = x + 3 where A = { 4,6,8,10} B = {7,9,11,13} and f : A rarr...

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  15. Given A = {2,3,5}, B = {1,2,3} C = {2,5}, D = {2,3,5} check if (A ...

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  16. Study the relation given below an set builder form. Represent each of ...

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  17. State whether the following graphs represent a founction. Give reason ...

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  18. Let A={6,9,15,18,21}, B={1,2,4,5,6} and f : A to B be defined by f...

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  19. Let A = {4,6,8,10} and B= {3,4,5,6,7}. If f : A rarr B is defined by...

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  20. A function f [-3, 7] rarr R is defined as follows f(x) = {{: (4x^(2) -...

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