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For how many integer values of x, is |x – 8| + |5 – x| > |x + 7|?

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Re: For how many integer values of x, is |x – 8| + |5 – x| > |x + 7|?  [#permalink]

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New post 08 Feb 2019, 08:47
Solve the question for x=3. You'll see that the answer is wrong...
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Re: For how many integer values of x, is |x – 8| + |5 – x| > |x + 7|?  [#permalink]

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New post 08 Feb 2019, 11:21
Hi merttural11,

You're correct that X=3 is NOT a solution to the given inequality. The correct answer does NOT state that EVERY value of X is a solution though - it states that the number of solutions is
INFINITE - because as X gets larger and larger (think about X=1000, X=1001, X=1002, etc.), we will clearly end up with an unlimited number of solutions
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Re: For how many integer values of x, is |x – 8| + |5 – x| > |x + 7|?   [#permalink] 08 Feb 2019, 11:21

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