Problem Math question

Test Preparation SAT Preparation
1

<p>Another absolute value one, from today’s Question of the day:</p>

<p>On a number line, x represents a number that is within 2 units of 12. Which of the following describes this relationship?</p>

<li>click to choose answer A |x + 2| < 12</li>
<li>click to choose answer B |x + 12| < 2</li>
<li>click to choose answer C |x – 2| < 12</li>
<li>click to choose answer D |x – 12| < 2</li>
<li>click to choose answer E |12 – 2| < x</li>
</ol>

<p>Is it just me or are those inequalities supposed to be “greater than AND equal to” rather than just greater than?</p>

2

<p>it seems kind of ambiguous with how they said it was "within" 2 units</p>

3

<p>aha... tricky. Argh, word games, is this what the SATs is about?</p>

4

<p>has to be 4. (D)</p>

<p>if its 2 units away from 12...means that the "change" or "difference" must be less than 2, i guess
the clue is when it says "within"
and because its the distance between x and 12, it has to be |x-12|</p>

5

<p>If you're not good with abs val, this is a good one for the "plug in and check" method.
Find the one that works when x is 11 or 13 (within 2), but fails when x is 9 or 15 (not within 2).
That's (D), as pointed out above.</p>