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math destroyer test 2 #40

Discussion in 'DAT Discussions' started by Vsno123, Aug 5, 2011.

  1. Vsno123

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    I think I'm missing something because this seems like an easy problem to solve:

    What is the largest possible value of x in the expression |16-2x| is less than or equal to 4?

    The answer says to flip the equation to |2x-16|. I see that those two are equal but why do you have to flip the equation to solve this problem?
     
  2. PooyaH

    2+ Year Member

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    If it was to stay at l16-2xl then the highest x could be was 6. But when you change it to l2x-16l, now the highest x value would be 10. And obviously since 10 is greater than 6, it is the highest possible x value.
     
  3. OP
    OP
    Vsno123

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    ok well that make sense lol... I guess I'll solve these absolute inequalities both ways and just pick the highest out of the two answers. thanks!
     

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