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 (11,310 points)
reshown Jul 6 by gbeditor

1 Answer

+2 votes
 
Best answer
D is correct one.
answered Jul 6 by tsnikhilsharmagate2018 (18,140 points)
selected Jul 9 by getgatebook
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
Answer:
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