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Mathematics 14 Online
OpenStudy (anonymous):

ill reward a medal and fan you if you help me plzzz The set O represents the minimum temperatures, in degrees Fahrenheit, recorded in the city of Orlando in a year: O = {49, 50, 50, 55, 56, 60, 65, 65, 70, 71, 72, 72} The set T represents the minimum temperatures, in degrees Fahrenheit, recorded in the city of Tampa in a year: T = {52, 54, 55, 59, 59, 61, 62, 68, 68, 70, 74, 75} How many elements are in the set O ∪ T? a. 2 b. 5 c. 17 d. 24

OpenStudy (anonymous):

the union of O and T will be all their elements combined with no duplicates

OpenStudy (anonymous):

so it would be c? @RBauer4

OpenStudy (anonymous):

Yes. Notice that the original sets have duplicates already. So really the number of elements in O is 9 and the number of elements in T is 10. And since they share 2 elements, their union has 17 elements.

OpenStudy (anonymous):

can you help with this one also? Find B union D. B: {-3, -1, 3, 4, 9, 11} D: {numbers divisible by 3 from 1 to 15} a. {3, 9} b. {-3, -1, 3, 4, 9, 11} c. { } d. {-3, -1, 3, 4, 6, 9, 11, 12, 15} @RBauer4

OpenStudy (anonymous):

sure

OpenStudy (anonymous):

can you help with this one also? Find B union D. B: {-3, -1, 3, 4, 9, 11} D: {numbers divisible by 3 from 1 to 15} a. {3, 9} b. {-3, -1, 3, 4, 9, 11} c. { } d. {-3, -1, 3, 4, 6, 9, 11, 12, 15} @RBauer4

OpenStudy (anonymous):

Lets write out the elements in D

OpenStudy (anonymous):

3, 6, 9, 12, 15 @RBauer4

OpenStudy (anonymous):

Sweet. So the union of B and D will be all elements in B and D, without duplicates.

OpenStudy (anonymous):

so d? @RBauer4

OpenStudy (anonymous):

and could you help me out with just 2 more plz? @RBauer4

OpenStudy (anonymous):

You got it. its d. Sure, I can help you.

OpenStudy (anonymous):

Which of the following represents the set of integers greater than zero? a. {1, 2, 3, 4, 5} b. {1, 2, 3, ..., 98, 99, 100} c. {all positive numbers} d. {1, 2, 3, 4, 5, ...} @RBauer4

OpenStudy (anonymous):

So. We are interested in only positive integers. What is the largest positive integer? Is it 100?

OpenStudy (anonymous):

yes I think so @RBauer4

OpenStudy (anonymous):

Its not 100, right? Cause there is 1000, 10000, 100000, ... and so on. But there isn't a largest integer, since we can always find a larger one.

OpenStudy (anonymous):

so it would be c. all positive numbers? @RBauer4

OpenStudy (anonymous):

it isn't c because numbers like 1/2, pi, and 9.5 are in that set and these numbers are not integers.

OpenStudy (anonymous):

When we don't know what the largest element of a set is, we write ". . ." to show that the set goes on forever; that is, the set if infinite.

OpenStudy (anonymous):

so it is d?

OpenStudy (anonymous):

Yes. Its d. :)

OpenStudy (anonymous):

If U = {students attending a movie} and subset M = {male students attending a movie}, what is M'? a. {senior citizens attending a movie} b. {male staff members at the movie} c. {female students attending a movie} d. None of the above

OpenStudy (anonymous):

What does the " ' " mean? the compliment?

OpenStudy (anonymous):

im not sure

OpenStudy (anonymous):

Well, we need to know what the ' means in order for us to answer the question.

OpenStudy (anonymous):

well this is what it looks like

OpenStudy (anonymous):

Yeah. It is basically what you sent me. in your course, they didn't mention was the ' means?

OpenStudy (anonymous):

no

OpenStudy (anonymous):

Hmmm. We can assume what it means, but its a gamble really.

OpenStudy (anonymous):

I think it is just a typo

OpenStudy (anonymous):

im guessing its d. none of the above

OpenStudy (anonymous):

I don't think its a typo. But if it was, and they really meant to write M instead of M', then the answer would be D. I think the ' might stand for the compliment. A compliment of a set would be all elements not in that set. So, if we S = { 1 , 2, 3 } and T = {1, 2}, then T' = {3}.

OpenStudy (anonymous):

soo c?

OpenStudy (anonymous):

Right on.

OpenStudy (anonymous):

thank you so much. I got a 90 on my test!!!

OpenStudy (anonymous):

Nice! Great job.

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