Question
Quantitative Aptitude Question on Algebra
Find the range of x that satisfies the equation: || 3x-6| +4|<10.
A
(–4, 4)
B
(–4, 4)
C
(–4, 4)
D
(–4, 4)
Answer
(–4, 4)
Explanation
Solution
–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).