If A -5-7-9-11- B -9-10 and a R b is defined as a - b such that a - A - a - b - R - b - B- then find the domain- co-domain and range of R-

A R b means a b Then R = (5, 9), (5, 10), (7, 9), (7, 10), (9, 10) Domain = 5, 7, 9 → set of first components of all the ordered pairs which be ...

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Byju's Answer

Standard X

Mathematics

Class Interval

If A =5,7,9,1...

Question

If A = {5, 7, 9, 11}, B = {9, 10} and a R b is defined as a $<$ b such that a $\in$ A, (a, b) $\in$ R, b $\in$ B, then find the domain, co-domain and range of R.

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Solution

a R b means a $<$ b

Then R = {(5, 9), (5, 10), (7, 9), (7, 10), (9, 10)}

Domain = {5, 7, 9} $\to$ set of first components of all the ordered pairs which belong to R

Co-domain = {9, 10} $\to$ set B is called co-domain of relation R

Range = {9, 10} $\to$ set of second components of all the ordered pairs which belong to R.

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