Answer to Question #223333 in Discrete Mathematics for Kofy

Question #223333

For the following relation on the set {1,2,3,4,5,6,7,8,9,10,11,12}.


1
Expert's answer
2021-08-05T13:41:19-0400

"Complete \\space question \\space is \\space \\\\\nFor \\space the \\space following \\space relation \\space on \\space the \\space set \\space \\\\ \\space { \\space \\{1,2,3,4,5,6,7,8,9,10,11,12 \\space \\} \\space }.\\\\\nRelation \\space is \\space given \\space by \\space xRy \\space \\iff \\space y=3x \\space , \\space then \\space R \\space = \\space ? \\space \\\\\nSolution \\space \\\\\nRelation \\space given \\space \\\\\nxRy \\space \\iff \\space y=3x \\space \\\\\nPut \\space x=1 \\space and \\space we \\space get \\space y \\space = \\space 3 \\space \\\\\nPut \\space x \\space = \\space 2 \\space and \\space we \\space get \\space y \\space = \\space 6 \\space \\\\\nPut \\space x \\space = \\space 3 \\space and \\space we \\space get \\space y \\space = \\space 9 \\space \\\\\nPut \\space x \\space = \\space 4 \\space and \\space we \\space get \\space y \\space = \\space 12 \\space \\\\\nNow \\space we \\space cannot \\space put \\space x \\space = \\space 5 \\space becouse \\space we \\space get \\space y \\space = \\space 15, \\space which \\space not \\space belong \\space to \\space set. \\space \\\\\nHence \\space R \\space = \\space \\{ \\space (1,3),(2,6),(3,9),(4,12) \\space \\}"


Need a fast expert's response?

Submit order

and get a quick answer at the best price

for any assignment or question with DETAILED EXPLANATIONS!

Comments

No comments. Be the first!

Leave a comment

LATEST TUTORIALS
New on Blog
APPROVED BY CLIENTS