# 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

reshown Jul 6

D is correct one.
answered Jul 6 by (18,140 points)
selected Jul 9
explanation:
(3,3) gives 3x+2y=15, so reflexivity FAILS.

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

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