Solution of the inequality |2x| ≥ |8-2x| is
Answer & explanation
Correct answer: option 3
|2x| ≥ |8-2x| Squaring both side.
(2x)2 ≥ (8-2x)2
⇒ 4x2 ≥ 64 + 4x2 - 32x
⇒ 32x ≥ 64
⇒ x ≥ 2
⇒ x ∈ [2, ∞)
Solution of the inequality |2x| ≥ |8-2x| is
Correct answer: option 3
|2x| ≥ |8-2x| Squaring both side.
(2x)2 ≥ (8-2x)2
⇒ 4x2 ≥ 64 + 4x2 - 32x
⇒ 32x ≥ 64
⇒ x ≥ 2
⇒ x ∈ [2, ∞)