Practicing Success

Target Exam

CUET

Subject

-- Mathematics - Section B1

Chapter

Three-dimensional Geometry

Question:

Solution of the inequality |2x| ≥ |8-2x| is

Options:

(-∞, -2]

[-2, ∞)

[2, ∞)

(-∞, 2)

Correct Answer:

[2, ∞)

Explanation:

|2x| ≥ |8-2x| Squaring both side.

(2x)2 ≥ (8-2x)2

⇒ 4x2 ≥ 64 + 4x2 - 32x

⇒ 32x ≥ 64

⇒ x ≥ 2

⇒ x ∈ [2, ∞)