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 in Discrete Maths by gbeditor (16,060 points)
reshown Jul 6 by gbeditor

1 Answer

+2 votes
Best answer
D is correct one.
answered Jul 6 by tsnikhilsharmagate2018 (19,700 points)
selected Jul 9 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