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|x+4|+|x-4|=2|x| and |x+1|+|5-x|=6, then x belongs to please explain briefly

|x+4|+|x-4|=2|x| and |x+1|+|5-x|=6, then x belongs to
 
 
please explain briefly
 

Grade:12th pass

1 Answers

Meet
137 Points
6 years ago
As if u solve 1st equation as by marking zeros on the number line and further taking cases such that in first case zeros are -4,0,4. Now u can take cases as firstly x4 and by taking intersection of all these cases u will get that x € (-infinity,-4] U [4,infinity). And similarly if u solve another one u will get the answer as x € [-1,5] ,and the final answer is intersection of both the intervals that is x € [4,5].

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