Section 1.1 & 1.2: Types of Relations
Exercise 2
Show that the relation \(R\) in the
set \(\mathbb{R}\) of real numbers,
defined as
\[R = \{(a, b) : a \leq b^2\}\]
is neither reflexive nor symmetric nor transitive.
Show that the relation \(R\) in the
set \(\mathbb{R}\) of real numbers,
defined as
\[R = \{(a, b) : a \leq b^2\}\]
is neither reflexive nor symmetric nor transitive.