1. Tardigrade
  2. Question
  3. Mathematics
  4. Let x, y ∈ I and suppose that a relation R on I is defined by x R y if and only if x ≤ y then

Question Error Report

Thank you for reporting, we will resolve it shortly

Back to Question

Q. Let $x, y \in I$ and suppose that a relation $R$ on $I$ is defined by $x R y$ if and only if $x \leq y$ then

Relations and Functions - Part 2

Solution:

Since $x \leq x$ for all $x \in I$ so $R$ is reflexive but is not symmetric as $(1,2) \in R$ and $(2,1) \notin R$. Also $R$ is transitive as $x \leq y, y \leq z \Rightarrow x \leq z$.