Posts Tagged ‘range’

All for One and One for All!

This problem is one that we talked a little about in all of our classes, but Enriched Math got it for homework.  Seems to me that we really ought to spread the wealth here because this was good practice.  (One of our classes actually got to finish this in class today.  That was good work!)

7.5 Activity Temp Changes 091013

7.5 Activity Temp Changes Answer Sheet 091013

Rock on, Colleagues!

“Life is Inequalities! Inequalities is Life!”

Without getting side-tracked on all the rules of grammar (in other words, that title could be, actually, just might be phrased correctly!  Now, hmmm…), how many times have you heard that life isn’t fair?  How many times have you said it yourself?  Well, no doubt, life sometimes throws you a curve when you were expecting one right over the plate.  It just isn’t fair.  It just isn’t the same on all sides.  It just isn’t nice and neat, like an equation.  It just is, well, unequal.  And through that truly torturous analogy, we arrive here at the Inequality Section.  So what do we know?

That answers to inequalities are really not exact numbers/values.  They really are a range of values that work to make the inequality true.  For example, if the minimum age (a) to get into an NC-17 movie is, uh, 17, then that means you have to be over 16 to get in.  (And all the Sweet 16s will have to wait in the mall!)  So the expression that would work could be a > 16, where a would be any value (in this case, age) that is more than 16. 

Makes sense, right?  And the Sweet 16s say “Life is Inequalities!”…okay, I’ll stop now, but keep grooving on those worksheets, come up with some really cool word problems, and maybe I’ll post a couple here.  Rock on, colleagues!