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mathmath333
 one year ago
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mathmath333
 one year ago
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This Question is Closed

mathmath333
 one year ago
Best ResponseYou've already chosen the best response.1\(\large \color{black}{\begin{align}& \normalsize \text{Let U be the set of all triangles in a plane.}\hspace{.33em}\\~\\ & \normalsize \text{If A is the set of all triangles with at}\hspace{.33em}\\~\\ & \normalsize \text{least one angle different from 60°, what is A′?}\hspace{.33em}\\~\\ \end{align}}\)

vera_ewing
 one year ago
Best ResponseYou've already chosen the best response.2A' is the set of all triangles with all angles 60°.

vera_ewing
 one year ago
Best ResponseYou've already chosen the best response.2A is the set of all triangles with at least one different angle from 60°.

vera_ewing
 one year ago
Best ResponseYou've already chosen the best response.2So that means that A' is the set of all equilateral triangles.

mathmath333
 one year ago
Best ResponseYou've already chosen the best response.1lol u wrote the same thing

mathmath333
 one year ago
Best ResponseYou've already chosen the best response.1i neeed A compliment

ParthKohli
 one year ago
Best ResponseYou've already chosen the best response.4Jesus. I just typed everything out and it removed it.

ParthKohli
 one year ago
Best ResponseYou've already chosen the best response.4OK, so \(A'\) *is* the set of equilateral triangles.

mathmath333
 one year ago
Best ResponseYou've already chosen the best response.1type it on notepad first then copy

Empty
 one year ago
Best ResponseYou've already chosen the best response.0Or you could use a better site such as www.peeranswer.com

ParthKohli
 one year ago
Best ResponseYou've already chosen the best response.4\(A \cup A' = T\) where \(T\) is the set of all triangles. Thus, \(A'\) is the set of all triangles that do not satisfy the criterion for \(A\) (that at least one angle should be different from 60). The only way to violate that? Have none of them different from 60, which pretty much means that all of them are 60.

mathmath333
 one year ago
Best ResponseYou've already chosen the best response.1no i have faith in OP.com

ParthKohli
 one year ago
Best ResponseYou've already chosen the best response.4Read that as "I have faith in OP's mom"

ganeshie8
 one year ago
Best ResponseYou've already chosen the best response.1negation of "at least one" is "none" so the negation of "at least one angle different from 60" is "none of the angles different from 60", which is same as "all angles are 60"

mathmath333
 one year ago
Best ResponseYou've already chosen the best response.1hmm this is confujing

mathmath333
 one year ago
Best ResponseYou've already chosen the best response.1Fill in the blanks to make each of the following a true statement : (i) A ∪ A′ = . . . (ii) φ′ ∩ A = . . . (iii) A ∩ A′ = . . . (iv) U′ ∩ A = . . .

ganeshie8
 one year ago
Best ResponseYou've already chosen the best response.1whats the negation of below statement : at least of the gifts is a car

mathmath333
 one year ago
Best ResponseYou've already chosen the best response.1car is not in the gifts

ganeshie8
 one year ago
Best ResponseYou've already chosen the best response.1right, another whats the negation of below statement : at least of the gifts is not a car

mathmath333
 one year ago
Best ResponseYou've already chosen the best response.1Their might be car as gift more than once.

mathmath333
 one year ago
Best ResponseYou've already chosen the best response.1at least of the gifts is a car

ganeshie8
 one year ago
Best ResponseYou've already chosen the best response.1``` at least of the gifts is not a car ``` means, there exist one or more gifts that are not cars

ganeshie8
 one year ago
Best ResponseYou've already chosen the best response.1whats the negation of that ?

mathmath333
 one year ago
Best ResponseYou've already chosen the best response.1this_>? at least of the gifts is a car

ganeshie8
 one year ago
Best ResponseYou've already chosen the best response.1negation of "at least one" is "none"

mathmath333
 one year ago
Best ResponseYou've already chosen the best response.1i mean negation of which sentence

ganeshie8
 one year ago
Best ResponseYou've already chosen the best response.1``` at least of the gifts is not a car ``` negation of above statement would be : ``` none of the gifts is not a car ```

ganeshie8
 one year ago
Best ResponseYou've already chosen the best response.1that means, there are no gifts that are not cars, which is same as saying that all the gifts are cats

mathmath333
 one year ago
Best ResponseYou've already chosen the best response.1ok i see my english is poor

ganeshie8
 one year ago
Best ResponseYou've already chosen the best response.1it has nothing to do with english, it is logic, you just need to see it once

mathmath333
 one year ago
Best ResponseYou've already chosen the best response.1oh, hmm ok i have one morre question Fill in the blanks to make each of the following a true statement : (i) A ∪ A′ = . . . (ii) φ′ ∩ A = . . . (iii) A ∩ A′ = . . . (iv) U′ ∩ A = . . .

ganeshie8
 one year ago
Best ResponseYou've already chosen the best response.1\(A'\) is everything that is not \(A\) therefore, combining\(A\) with \(A'\) gives you everything : \[A\cup A' = U\]

ganeshie8
 one year ago
Best ResponseYou've already chosen the best response.1may be lets work this with venn diagrams

mathmath333
 one year ago
Best ResponseYou've already chosen the best response.1dw:1438798363617:dw

ganeshie8
 one year ago
Best ResponseYou've already chosen the best response.1Yes, that looks good. can you show me A and A' in above venn diagram

mathmath333
 one year ago
Best ResponseYou've already chosen the best response.1dw:1438798432076:dw

ganeshie8
 one year ago
Best ResponseYou've already chosen the best response.1as expected, you can see that combining A and A' covers the entire U

ganeshie8
 one year ago
Best ResponseYou've already chosen the best response.1what about \(A\cap A'\) ? is there anything common between A and A' ?

ganeshie8
 one year ago
Best ResponseYou've already chosen the best response.1since there is nothing common, we say it equals `emptyset`, \(\varphi\)

ganeshie8
 one year ago
Best ResponseYou've already chosen the best response.1\[A\cap A' = \varphi\]

mathmath333
 one year ago
Best ResponseYou've already chosen the best response.1this one \(\emptyset′ ∩ A\) =

ganeshie8
 one year ago
Best ResponseYou've already chosen the best response.1whats the compliment of emptyset ?

ganeshie8
 one year ago
Best ResponseYou've already chosen the best response.1by definition, complement is different from the original

ganeshie8
 one year ago
Best ResponseYou've already chosen the best response.1emptyset and universal set are complements of each other

ganeshie8
 one year ago
Best ResponseYou've already chosen the best response.1\(\varphi' = U\) \(U' = \varphi\)

ganeshie8
 one year ago
Best ResponseYou've already chosen the best response.1so \(\emptyset′ ∩ A=U\cap A = ?\)

ganeshie8
 one year ago
Best ResponseYou've already chosen the best response.1Yep, try the last one

ganeshie8
 one year ago
Best ResponseYou've already chosen the best response.1Yes \(U′ ∩ A = \varphi \cap A = \varphi\)
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