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Frequency Distribution of Grouped Data - Continuous

39. Let R be ...

Question

39. Let R be a relation defined on set A={1,2,3,4} such that R ={(1,2)(1,3)(2,4)(3,2)}.If domain of R is the set B and range is the set C, then find (BC

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ϵ

A

10

R

A

(x, y) \in R \Leftrightarrow x + 2 y = 10.

R

Let A be the set of first natural numbers and let R be a relation on A defined as follows :

$(x, y) ϵ R \Leftrightarrow x \leq y$

Express R and $R^{- 1}$ as sets of ordered pairs. Determine also

(i) The domain of $R^{- 1}$

(ii) The range of R.

A = {1, 3, 5, 7}

B = {2, 4, 6, 8}

R

A

B

“ (x, y) \in R \Rightarrow x > y " .

R

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