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Source: — Problem Solving |
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by DavidG@VeritasPrep » Thu Mar 10, 2016 10:06 am
See here for a good discussion of this problem: https://www.beatthegmat.com/og-13-229-ho ... 11325.html
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by [email protected] » Thu Mar 10, 2016 10:18 am
Hi John fran kennedi,

This question can actually be solved with a bit of "brute force"; I'm going to give you some hints, then let you try it out to see how quickly you can solve it.

The question asks how many INTEGERS that are LESS THAN 5 fit the given inequality? From the answer choices, there is at least 1 and no more than 5 possible answers. Given the limitation that ALL of the answers are less than 5, how long would it take you to find them all?

Here's a suggestion:
-What happens when you plug in 4?
-What happens when you plug in 3?
Can you spot a pattern when you do this work?
Etc.

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by Matt@VeritasPrep » Thu Mar 17, 2016 9:37 pm
In a pinch, the easiest way is to try 0, 1, 2, 3, and 4, then some negatives to see what's happening.

With a little more time, you want to consider two cases: what happens if (x - 2) > 0 and what happens if 0 > (x - 2). Multiplying both sides of the inequality by (x - 2) will then give you two different sets of solution, and you can roll from there.
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