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Let A = {1, 2, 3, 4, 5, 6}. Define a rel...

Let A = {1, 2, 3, 4, 5, 6}. Define a relation R from A to A by R = {(x, y) : y = x+1}.

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To find the relation R from the set A = {1, 2, 3, 4, 5, 6} defined by R = {(x, y) : y = x + 1}, we will follow these steps: ### Step 1: Identify the elements of set A The set A is given as: \[ A = \{1, 2, 3, 4, 5, 6\} \] ### Step 2: Define the relation R The relation R is defined such that for each element \( x \) in set A, \( y \) is equal to \( x + 1 \). Therefore, we will find pairs \( (x, y) \) where \( y \) is one more than \( x \). ...
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AAKASH INSTITUTE ENGLISH-RELATIONS AND FUNCTIONS -Try Yourself
  1. Let R = {(1, -1), (2, 0), (3, 1), (4,2), (5, 3)}. Then (i) Represent R...

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  2. Let A = {1, 2, 3, 4}, B = {1, 3, 4, 8}. Let R = {x, y) : x in A, y in ...

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  3. Let A = {1, 2, 3, 4, 5, 6}. Define a relation R from A to A by R = {(x...

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  4. Define a relation R on the set N of all natural numbers by R = {(x, y)...

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  5. Given R = {(x, x^(3)), is a prime number less than 10}. Find the domai...

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  6. Let a R b the relation on the set N of all natural numbers defined by ...

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  7. Given A = {p, q}. List all the relations on A.

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  8. Given A = {-7, 7}. List all the relations on A.

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  9. Let A = {x, y, z} , B = {3, 5}. Find the number of relations from A to...

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  10. Let A = {a(1), b(1), c(1)} , B = {r, t}. Find the number of relations ...

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  11. Let A={3,5}a n d\ B={7, 11}dot Let R={(a , b): a in A ,\ b in b ,\ a...

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  12. Let A = {3,5}, B = {7,1}. Let R = {(a,b): ainA, binB, a-b is even}. ...

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  13. Let f : R − { − 3, 5 } → R be a function defined as f ( x ) = (2x)/...

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  14. Let f : R → R be a function defined by f ( x ) = 2 x − 5 ∀ x ∈ R . ...

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  15. In the given function, find the co-domain and range

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  16. In the given function, find the domain, co-domain and range.

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  17. Let f : N rarr N and given by f(x) = x + 6. Find f(1), f(3), f(7).

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  18. A function f is defined by f(x) = x^(2) + 1. Find f(0), f(5), f(10).

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  19. Examine which of the following relations (defined on subsets of Z) are...

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  20. Let A = {1, 2, 3, 4}. Examine which of the following relations is a f...

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