Show that the relation `R` in the set of real numbers, defined as `R="{"(a , b")": alt=b^2}\ ` is neither reflexive, nor symmetric, nor transitive.

Explanation

To show that the relation \( R \) defined on the set of real numbers as \( R = \{(a, b) : a \leq b^2\} \) is neither reflexive, nor symmetric, nor transitive, we will analyze each property step by step.

### Step 1: Check for Reflexivity
A relation \( R \) is reflexive if for every element \( a \) in the set, the pair \( (a, a) \) belongs to \( R \). This means we need to check if \( a \leq a^2 \) holds for all real numbers \( a \).

1. **Consider the inequality**:
\[
a \leq a^2
...