What is the range of the relation {(2, 4), (3, 4), (4, 7), (5, 7), (6, 5)}?

1 Answer
Aug 4, 2018

#color(red)"Range of S" color(red)=color(red)({4,5,7})#

Explanation:

Let , #S# be the Relation from #A# to #B# then

#(i) "Domain of S" = {"a/" (a,b) inS}#

#(ii)"Range of S" ={"b/" (a,b) inS}#

Here ,

#S={(color(blue)2,color(red)4).(color(blue)3,color(red)4),(color(blue)4,color(red)7),(color(blue)5,color(red)7),(color(blue)6,color(red)5)}#

So ,

#(i) color(blue)"Domain of S"color(blue) =(color(blue)({2,3,4,5,6} )#

#(ii)color(red)"Range of S" color(red)=color(red)({4,5,7})#