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the maximum number of values of x if |x-2|+|x-4|=2 is?

the maximum number of values of x if  |x-2|+|x-4|=2 is?

Grade:12th pass

1 Answers

Arun
25750 Points
6 years ago
Dear Aman
 
In this type of questions, we have to take the boundary
Like
1)-  when x
2 -x + 4- x = 2
2 x = 4
x = 2
2)-  when x is between 2 & 4
x -2 + 4 -x = 2
2 = 2
That means for every value between 2 & 4 , it is valid
 
3)- when x>4
x-2 + x-4 = 2
x = 4
 
Hence solutions of x is
[2, 4]
But if we are asked integral solution that x = 2,3,4
 
Regards
Arun (askIITians forum expert)

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