Practicing Success

Target Exam

CUET

Subject

-- Mathematics - Section B1

Chapter

Relations and Functions

Question:

Find the values of $x^2$ for the given value of x.

x < 3

Options:

[0, ∞)

(0, ∞)

[0, ∞]

(-∞, ∞)

Correct Answer:

[0, ∞)

Explanation:

(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, $x^2 ∈ [0, 9) ∪ (0, ∞)$

$⇒ x ∈ [0, ∞)$