DM-Sets,Relations and Functions-Q10

+1 vote

Given that A=\{1,2,3,4\} and R is the relation defined by (x,y)\in R \text{ if } 3x+2y \leq 11

Which of the following statement is true?

(A). It is reflexive

(B). It is symmetric

(C). It is transitive

(D). None

asked Jul 5, 2019 in Discrete Maths by gbeditor (44,970 points)
reshown Jul 6, 2019 by gbeditor

1 Answer

+2 votes
Best answer
D is correct one.
answered Jul 6, 2019 by (34,650 points)
selected Jul 9, 2019 by getgatebook
(3,3) gives 3x+2y=15, so reflexivity FAILS.

(1,4) satisfies as it evaluates to 11, but (4,1) does not satisfy, FAILS

(3,1) and (1,3) satisfy, so (3,3)  should also satisfy to be transitive. but (3,3) gives 15, transitivity FAILS