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How many solutions has the equation ||x-3|-2|=1?
  • a)
    0
  • b)
    1
  • c)
    2
  • d)
    3
  • e)
    4
Correct answer is option 'E'. Can you explain this answer?
Most Upvoted Answer
How many solutions has the equation ||x-3|-2|=1?a)0b)1c)2d)3e)4Correct...
 
||x−3| − 2| = 1| 
⇒ |x−3|−2 = 1 or |x−3|−2 = −1 
⇒ |x−3| = 3 or |x−3| = 1 
⇒ x − 3 = 3 or x−3 =−3 or x−3 = 1 or x−3 = −1 
Therefore x = 6 or 0 or 4 or 2. Hence answer is 4 .
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How many solutions has the equation ||x-3|-2|=1?a)0b)1c)2d)3e)4Correct answer is option 'E'. Can you explain this answer?
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