Find the values of x^2 for the given value of x. x < 3

(i) When x < 3, we have $x ∈ (-∞, 0) ∪ [0, 3)$

for $x ∈ [0, 3), x^2 ∈ [0, 9)$

for $x ∈ (-∞, 0), x^2 ∈ (0, ∞)$

⇒ for x < 3, $x^2 ∈ [0, 9) ∪ (0, ∞)$

$⇒ x ∈ [0, ∞)$