<p>I forget how you solve these types of problems where you have to find the range of answers.
Example. "When making a latte, Lori will not use steamed milk that is above 170 degrees. She will not use steamed milk that is below 150 degrees. If t represents the temperature of steamed milk, that she will not use, then an inequality that represents all possible values of t is?</p>
<p>This comes up often enough to add to your collection of tricks.</p>
<p>First find the midpoint of the allowable numbers: in your example, that’s 160.</p>
<p>Then divide the range of the numbers in half. With your numbers, that’s (170-150)/2 = 10.</p>
<p>The allowable numbers must be within 10 of 160.</p>
<p>So abs(160-x) < 10. [Depending on the wording of the specific question, you might need “less than or equal”]</p>
<p>Yes, exactly what i was looking for. I forgot the 2nd step. </p>
<p>Now if its asking for within 170 and 150, its less than correct? and if its anything out of that range you do greater than?</p>
<p>Yes. But again, read carefully to see if they want you to include or exclude the endpoints. It would be an annoying reason to get a problem wrong…</p>