The four different types of sets that arise from domains and ranges are described in the following table. In this context, the entities are: R is a relation from A to B XEA CSA Set Notation Description Always a subset of... Domain of R Sometimes Dom( R ) Every xe d such that A there is some ye B where XRy Range of R Sometimes Ran( R ) Every Ve B such that B there is some x e A where xRy Range of X R(x) Every ye B such that B XRy Range of C R(C) Every Ve B such that B there is some x e C where xRy 1291. Let R= {(1,b).(2.b).(2.c).(3.e), (6,b). (6, /). (7,b), (7,0), (10.0), (10.e),(10. /); be a relation from the set: A= (1,2,3,4,5, 6,7,8,9,10; to the set: B= \\a,b.c.d.e. f.gi. a. Find the domain of R . b. Find the range of R. C. Find R(6). d. Find R(8). e. Let C = (1.3,7,9) . Find R(C) . f. Find R( (4.5.8,9) ) . g. Find R((x | x is a prime number; ) .2. Let A be a relation on the set D= (5,8,9,14, 21,1003, 2009; where: 10000017 101 1000 0 0 01010 M= 0100001 0 0 0 0 0 0 0 0101010 0010010 a. Find the domain of R 132 Discrete Structures b. Find the range of R. C. Find R(9). d. Find R( (14,1003,2009; ). e. Find the element x such that R(x) = ().3. Given the digraph of some relation R on some set 4, describe how you would; a. Find the domain of R b. Find the range of R c. Find R(x) where re A d. Find R(E) where E CA 4. Given the relation A on the set of Real numbers defined by: xRy if and only if y = (x-2) -1. find the following (use technology to graph this relation as this will help visualize the scenario): a. The domain of R b. The range of R C. R(1.75) d. R([1.5,3.5)) (note: this is the interval of real numbers from 1.5 to 3.5)