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Tuesday, February 22, 2011

hw #6-6 Systems of Linear Inequalities

Complete ProbSet 6F
pg 398-400 #4,6
#15-39 mult of 3

optional homework (only for students that want to do well on tests)
pg 404-407 1-infinity including Chapter Test

UNIT TEST ON MONDAY, FEB 28th!!  :-)
Note: You can ask questions here, but I will set up a separate blog post for UNIT REVIEW on Thursday.

21 comments:

  1. A bit confused with #27 pg 399. Not sure where to begin. Please Help!

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  2. When writing a system on inequalities based on a graph, like #24, does it matter which way the inequality sign points? If it does, how do you figure it out?

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  3. How do you come up with the inequalities for #27? I know one of them is something like x<=10 if you let x= the number of miles driven per day.. Help!!

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  4. Yup! #27 is a doo-zie!!

    What don't you know? The number of hours driven by the faster driver (f?) and the number of hours driven by the slower driver (s?).

    Now, can you put together a system?
    Hint: I'm thinkin' THREE equations

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  5. Do we have to make 3 equations for #36?

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  6. Do the inequalities have to include the miles? Like on drives at an average speed of 55 miles per hour? How would you turn that into an inequality?

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  7. Dear #24,

    EVERYTHING MATTERS.

    OK, we gotsk two lines, aka two linear equations. I'm ASSUMING that you can clearly identify the EQUATIONS for the lines as
    a) y=-2x+2 and
    b) x=1

    Welzers, since the yellow shading represents the solution region, if we TEST a point in that region, we will need to align the inequality so that the solutions are TRUE.

    For example, (0,3) is clearly in the solution region.

    If we (sing it for me) "plug it in, plug it in" to inequality-to-be a) we get
    (note: the "?" is a placeholder for the yet-to-be-determined inequality symbol):

    y ? -2x+2
    3 ? -2(0)+2
    3 ? 0+2
    3 > 2
    ... so therefore, equation a) should be transformed into the inequality:
    y > -2x+2

    With vertical and horizontal lines I am willing to let you use your mathematical intuition. Hopefully you can clearly see that since the solution region lies to the left of x=1, the inequality must be stated as x<1.

    You should try 22,23,& 25 for extra practice (aka fun!).

    Ca-peesh?

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  8. If you drove for 3.5 hours at 55 mph, can you tell me how far you traveled?

    More importantly, can you make the connection as to why I asked you that question??

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  9. Dear #36,
    The problem states three relationships... I think you're on to something!!

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  10. I'll never be able to finish these all.. I have a language arts test tomorrow and I have a sport to go to in 10 minutes :(

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  11. By the way, the textbook comparison narrative is due by the END of NEXT WEEK. The sooner the better, but don't make yourself crazy. Just skim both texts (maybe you'll learn something??!!!) and write what you feel. This assignment is a favor to me... thoughtful writing on your part will earn you a few (piddly few) extra credit points (possibly a beanie baby for the most thoughtful narrative).

    PLEASE DO NOT SWEAT IT!!

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  12. And.. For #39, do you have to graph all of them to answer the question?

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  13. Do what you can... study for the L.A. test and try to do a few algebra problems. Be alert and ask questions in class tomorrow and get ready to work some problems over the weekend.

    I repeat "DO WHAT YOU CAN" and DON'T STRESS!

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  14. Actually, for #36, I'm thinkin' maybe FOUR inequalities... WOO-HOO!!

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  15. Dear #39, Do you actually think I'm going to tell you to leave something out of the graph? Seriously, does that sound like me???

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  16. Uh oh.. So how would I make the inequality of "atleast 2 grams of gold"? It doesn't really make sense to me.. 2>= g
    ???

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  17. I have to go.. I'll work on these questions later. Thanks for the help!

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  18. It does matter which way the sign points because that determines where you shade.

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  19. Ugh I'm back.. I'll try to ask a lot of questions in class.

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  20. THAT is what class if for... QUESTIONS!!!!

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