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hw#3-7 Due
Mon Nov 28 (B)
Tues Nov 29 (A)
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hw#3-7 Due
Mon Nov 28 (B)
Tues Nov 29 (A)
Just do EVERY OTHER odd problem, BONUS homework do EVERY odd problem
pg 210-11 #1-25 ODD
pg 211 #33-59 ODD
pg 213 #83-97 ODD
Wow! Sunday 1:00pm and no questions/comments... I'm so glad that everyone is so secure heading into the Unit 3 test! I must be a GREAT teacher!
ReplyDeleteWe will go over interval notation in class. It will be on the Unit 3 test. You should be able to review it yourself and get the "jist."
ReplyDeleteHere is a great lesson from the RegentsPrep website Regents Prep Interval Notation Lesson
Interval notation MUST be written in order from smaller to larger. The purpose of interval notation is to show the boundaries in a clean, simple way. It is simply an alternate format, nothing more, nothing less. Do not over-think it and just try to learn the similarities to set-builder notation.
Examples:
x < 2
(-∞,2)
The left paren is used to denote the never-ending nature of -∞... a bracket is never used with -∞ or ∞. The right paren indicates < as opposed to ≤.
x ≤ 5
(-∞,5]
The left paren is used to denote the never-ending nature of -∞. The right paren indicates ≤ as opposed to <.
-1 -1.
The right bracket means x ≤ 5.
37 ≤ x < 68
[37,68)
The left bracket means that x ≥ 37.
The right bracket means x < 68.
x≤-12 or x>-4
(-∞,-12] or (-4,∞)
SUMMARY:
( Left Paren is used for -∞ and >
) Right Paren is used for ∞ and <
[ Left Bracket is used for ≥
] Right Bracket is used for ≤
Ca-peesh?
Here is how you solve pg 211 #59... click here for video
ReplyDeleteREMEMBER, SOLVE FOR THE BLOB!!
There are a number of ways pg 213 #95 could be written in set-builder notation. The set in roster form looks like this {1,3,5,7}. For example:
ReplyDelete{x|x is an odd natural number less than 8}
or
{x|x is an odd integer, where 1≤x≤7}
Either is correct.
Roster form, set-builder notation and interval notation are three ways in which mathematicians like to express solutions. You should recognize them and understand why some make more sense to use than others depending on the expressed solution.
If natural number less than 1000 was the solution set, I hope you would agree that
{x|x is a natural number less than 1000)
... is a more effective way to express the solution set as opposed to roster form!
your videos are quite time consuming...
ReplyDeleteI'll choose to take that as a compliment... thank you!
ReplyDeleteFor those that need reinforcement, you can rewind/replay them.
For those at the top of the class, you can fast forward them.
For those of you that are expert mathematicians, you can skip them altogether, or better yet, make your own and I'll post them (I mean that, extra credit for education videos is "on the table"... see me if you are interested).
Question: is 0 an actual answer or not? would tha be chosen as no solution or a real answer. help anyone?
ReplyDeleteI assume you are talking about {ΓΈ} which is the null set. The null set is an "answer" and it is equivalent to saying that there is NO REAL NUMBER SOLUTION. Does that answer your question?
ReplyDelete|x+2|<-14
results in an "answer" of NO REAL SOLUTION or NULL SET. The smallest number that can ever "pop out" of AbsVal brackets is a zero, and zero can never be less than -14... hence the NULL answer.
Ca-peesh?
Hey Mr. C, on page 226 i got stuck on #60. Would we use the coordinate grid and the input/ output chart to help us?
ReplyDeleteHUH??!!!
ReplyDeleteThe coordinate grid and i/o chart are for UNIT 4... that will NOT be on the test!
All #60 is asking you is whether there are common elements between multiples of 2 (Set N) and multiples of 6 (Set P). It turns out that every element in Set P is a member of Set N, so every element in Set P is in common. That means that the intersection, effectively, is multiples of 6 or just plain old Set P.