Domain and range of a relation, Mathematics

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Consider R be a relation from A to B, that is, take RA Χ B. Then

Domain R = {a: a € A, (a, b) € R for any b € B}

i.e. domain of R is the set of all the first components of the related pairs which relates to R.

Also Range R = {b: b€ B, (a, b) € R for any a€ A},

i.e. range R is the set of all second component of the ordered pairs which related to R.

Therefore Dom. R A, Range R B.

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