If R = {(x, y) : x ∈ R and −5 ≤ x ≤ 5}, then Range (R) = ……………………….
Question
If
\[ R = \{(x,y): x\in \mathbb{R} \text{ and } -5\le x\le 5\} \]
is a relation, then Range \( (R) \) = ……………………….
Solution
The relation is defined for all real numbers \( x \) satisfying:
\[ -5\le x\le 5 \]
Thus, the values involved lie between \(-5\) and \(5\), inclusive.
Therefore, the range of the relation is:
\[ [-5,5] \]
Hence,
\[ \boxed{[-5,5]} \]