This Blog exists for the collective benefit of all algebra students. While the posts are specific to Mr. Chamberlain's class, any and all "algebra-ticians" are welcome. The more specific your question (including your own attempts to answer it) the better.
I need help with 39. I don't understand how to make a complement. Please help me! I don't understand how to decipher a universal from a compliment in a set of data.
I'm impressed that not only are trying to decipher the problem, but that you can spell decipher!
Please re-read section 3-5... I think that you might be over-thinking things a bit.
The universal set is EVERYTHING as defined by the problem.
If I defined the universal set as all integers (which consists of whole numbers and their opposites) and I further said that set E was the set of all even integers (which is a SUBSET of integers), then what is the complement of E (also written as E')?
Clearly (hopefully) E' would be the set of all ODD integers.
Thanks for blogging the question... You should ALL be more familiar with mathchamber... on the Unit 3 page it is clear that the quiz is on sections 3-1 thru 3-4, which does NOT include sets (3-5).
If I call Set R the subset of cards that are RED (i.e. hearts and diamonds), then R' is the set of all black cards (i.e. clubs and spades).
That's just one way to slice up a deck of cards.
Given the same Universal Set, I call Set F the subset of cards that have faces (Jack,Queen,King). F' would be the set of all number cards and Aces... in roster form F = {J,Q,K} and F'= {2,3,4,5,6,7,8,9,A}
Obviously I could come up with any number of other arrangements.
Can someone explain #23 on the mid chapter quiz here it is
- the cheerleaders are making a rectangular banner for a football game. The length of the banner is 30f. The cheerleaders can use no more than 96ft pf trim around the outside of the banner. What are the possible widths of the banner?
I'm a little confused about the inequality we would write to figure it out I came up with (30)(2)L <=96 HELP!!!!!!!!!!
You don't know the width, so we'll call that 'w'... the total feet that the width will contribute to the perimeter is 2w (there are two widths and two lengths in a perimeter, right?)
You know the length, it's 30ft. You also know that the total feet contribute to the perimeter is 2(30) or 60ft.
So, twice the width (aka 2w) plus twice the length (aka 60) has to be less than or equal to 96, right?
I need help with 39. I don't understand how to make a complement. Please help me! I don't understand how to decipher a universal from a compliment in a set of data.
ReplyDeleteI'm impressed that not only are trying to decipher the problem, but that you can spell decipher!
ReplyDeletePlease re-read section 3-5... I think that you might be over-thinking things a bit.
The universal set is EVERYTHING as defined by the problem.
If I defined the universal set as all integers (which consists of whole numbers and their opposites) and I further said that set E was the set of all even integers (which is a SUBSET of integers), then what is the complement of E (also written as E')?
Clearly (hopefully) E' would be the set of all ODD integers.
Not sure is this helped... lmk.
Are sets on the quiz?
ReplyDeleteThanks for blogging the question... You should ALL be more familiar with mathchamber... on the Unit 3 page it is clear that the quiz is on sections 3-1 thru 3-4, which does NOT include sets (3-5).
ReplyDeleteAnother way to look at set terminology is this...
ReplyDeleteA deck of 52 playing cards is the Universal Set.
If I call Set R the subset of cards that are RED (i.e. hearts and diamonds), then R' is the set of all black cards (i.e. clubs and spades).
That's just one way to slice up a deck of cards.
Given the same Universal Set, I call Set F the subset of cards that have faces (Jack,Queen,King). F' would be the set of all number cards and Aces... in roster form
F = {J,Q,K} and F'= {2,3,4,5,6,7,8,9,A}
Obviously I could come up with any number of other arrangements.
(Someone asked:)
ReplyDeleteAnonymous said...
What is a c over a line, what does it mean, you never told us!
Mr. Chamberlain said...
The underlined "C" that you reference (it looks more like an underlined sideways "U" to me) means "subset." See page 195.
Soccer players are a subset of the set of athletes.
Oranges are a subset of the set of fruit.
The natural numbers are a subset of the set of whole numbers.
Rational numbers are a subset of the set of real numbers.
Thank u for the explanyaiin onuniversal sets mr.c it sort of helped me I will see youbtomorroe in class. Thanks!
ReplyDelete-Jess
I don't know how to write #36 set-builder notation.
ReplyDeleteAlso I'm having trouble making a two step problem for #48
Can someone explain #23 on the mid chapter quiz here it is
ReplyDelete- the cheerleaders are making a rectangular banner for a football game. The length of the banner is 30f. The cheerleaders can use no more than 96ft pf trim around the outside of the banner. What are the possible widths of the banner?
I'm a little confused about the inequality we would write to figure it out I came up with (30)(2)L <=96 HELP!!!!!!!!!!
for #36, could those numbers be the factors of a certain number? (granted... that was a tricky one!)
ReplyDeleteyup 48 was a toughie, too... a few possibilities would be...
ReplyDelete2x - 9 > -9
4x + 17 > 17
5x - 13 > -13
see the pattern? when you add or subtract the value from both sides, you end up with ZERO on the side opposite the variable.
Dear BLOCK THAT KICK,
ReplyDeleteYou don't know the width, so we'll call that 'w'... the total feet that the width will contribute to the perimeter is 2w (there are two widths and two lengths in a perimeter, right?)
You know the length, it's 30ft. You also know that the total feet contribute to the perimeter is 2(30) or 60ft.
So, twice the width (aka 2w) plus twice the length (aka 60) has to be less than or equal to 96, right?
Can u write and solve the inequality now?