Find min value of fn:
|-5-x| + |2-x|+|6-x|+10-x|; where x is an integer
0/17/23/19

• 19 say the lowest value we get from 2-x expression x is 2 then by putting it into the equation we get the minimum value
• 9 years agoHelpfull: Yes(7) No(0)
• ans:-19
  we have to put x=2,5,6 or 10 so that we can eliminate one term.
  if we put x=2 or 5 or 6 then ans is 19 which is minimum
  for other values of x we get ans greater than 19.
  hence ans should be 19.
• 9 years agoHelpfull: Yes(3) No(0)
• The answer is 19. Just make a graph or use inequalities.
  
  | -5 - x | + | 2 - x | + | 6 - x | + | 10 - x | =
  
  | 5 + x | + | x - 2 | + | 6 - x | + | 10 - x | >=
  
  | (5 + x) + (x - 2) + (6 - x) + (10 - x)| = 19.
  
  This means the minimum can not be 0 or 17, so it is either 19 or 23. Since equality holds when x = 2, 19 is in fact the minimum.
• 9 years agoHelpfull: Yes(3) No(0)
• if we take x=0 (0 is also an integer)
  than its ans is 23
• 9 years agoHelpfull: Yes(2) No(3)
• For the function to be minimum , value of |-5-x| + |2-x|+|6-x|+10-x| should be zero and it does not mean x has to be zero.
  Answer = 0
• 9 years agoHelpfull: Yes(1) No(3)
• which is the corrct answer?? 0 or 19........explain clearly
• 9 years agoHelpfull: Yes(1) No(0)
• 23-2x t hen put x=0....gives 23
  
• 9 years agoHelpfull: Yes(0) No(0)
• verify from options as all are values, i got min value for fn with x=0.
• 8 years agoHelpfull: Yes(0) No(0)
• By using heat and trial,by making one mod value=0;
  ans=>19
• 4 years agoHelpfull: Yes(0) No(0)