Question:

Find the range of x that satisfies the equation: || 3x-6| +4|<10.

Updated On: Aug 31, 2024
  • (–4, 4)
  • (–4, 4)
  • (–4, 4)
  • (–4, 4)
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The Correct Option is C

Solution and Explanation

–10 < ( | 3x – 6 | + 4 ) < 10
⇒ –14 < | 3x – 6 | < 6
⇒ | 3x – 6 | < 6
⇒ – 6 < ( 3x – 6 ) < 6
⇒ 0 < 3x < 12
⇒ x ∈ (0, 4)
So, the correct option is (C): (0, 4).
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