If r is the relation less than from a


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If R is the relation less than from A={1,2,3,4,5} to B={1,4,5} write down the set of ordered pairs corresponding to R. Find the inverse of R.S​

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Step-by-step explanation:

Given that: If R is the relation less than from A={1,2,3,4,5} to B={1,4,5} write down the set of ordered pairs corresponding to R. Find the inverse of R.

To find: Roster form of relation

Solution:

As relation is defined as

A less than B

A R B

Means put the value from A and B in which A is less than B

So,

R= {(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)}

Domain(R)={1,2,3}

Range(R)={4,5}

Inverse relation of R: Invert the ordered pairs

R-¹ ={(4,1),(5,1),(4,2),(5,2),(4,3),(5,3),(5,4)}

Domain(R-¹)={4,5}

Range(R-¹)={1,2,3}

Hope it helps you.


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