Maths-
General
Easy

Question

vertical line x plus 2 vertical line equals vertical line x minus 8 vertical line
What is the solution to the given equation?

  1. -6
  2. -3
  3. 3
  4. 6

The correct answer is: 3


    HINT : check all the conditions valid for x and find the modulus conditions in that range and find x.
    Explanation :
    If both the modulus are positive or both the mods are negative then
    x+2 = x-8 (or) -(x+2) = -(x-8)
    Then x is not defined
    Step 1: checking the sufficient conditions
    |x+2| is positive if x>-2 and negative if x<-2.
    |x-8| is positive if x>8 and negative if x<8.
    The only Possible conditions is  x>-2  and x<8 (i.e x
    Step 2:
    table attributes columnalign right left right left right left right left right left right left columnspacing 0em 2em 0em 2em 0em 2em 0em 2em 0em 2em 0em end attributes row cell x plus 2 equals negative left parenthesis x minus 8 right parenthesis not stretchy rightwards double arrow 2 x plus 2 equals 8 end cell row cell not stretchy rightwards double arrow 2 x equals 6 not stretchy rightwards double arrow x equals 3 end cell end table
    ∴x = 3 is the solution to the given equation

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