01 Relations and Functions

Exercise 03

Question:

Let R be the relation in the set {1,2,3,4} given by R={(1,2),(2,2),(1,1),(4,4),(1,3),(3,3),(3,2)}. Choose the correct answer. A R is reflexive and symmetric but not transitive. B R is reflexive and transitive but not symmetric. C R is symmetric and transitive but not reflexive. D R is an equivalence relation.

Answer:

A R is reflexive and symmetric but not transitive.

Question:

Let R be the relation in the set N given by R={(a,b):a=b−2,b>6}. Choose the correct answer. A (2,4)∈R B (3,8)∈R C (6,8)∈R D (8,7)∈R

Answer:

C (6,8)∈R