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mathmath333
 one year ago
Set Theory
mathmath333
 one year ago
Set Theory

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mathmath333
 one year ago
Best ResponseYou've already chosen the best response.0dw:1438630180668:dw

mathmath333
 one year ago
Best ResponseYou've already chosen the best response.0I think 2,4,7 and 9 are correct

freckles
 one year ago
Best ResponseYou've already chosen the best response.2well i is incorrect since {3,4} is actually an element of A so it would have been correct if it said: \[\{3,4\} \in A\] so you were right about ii.

freckles
 one year ago
Best ResponseYou've already chosen the best response.2why do you think iii is wrong?

freckles
 one year ago
Best ResponseYou've already chosen the best response.2{{3,4}} is the set containing the element {3,4} isn't it? isn't the element {3,4} also in A?

mathmath333
 one year ago
Best ResponseYou've already chosen the best response.0oh 3 is also correcr sry

freckles
 one year ago
Best ResponseYou've already chosen the best response.2I think you got vi and vii mixed up

freckles
 one year ago
Best ResponseYou've already chosen the best response.2and also you mixed up xi and x

mathmath333
 one year ago
Best ResponseYou've already chosen the best response.0i think (vi) is incorrect

ganeshie8
 one year ago
Best ResponseYou've already chosen the best response.2dw:1438630730330:dw

mathmath333
 one year ago
Best ResponseYou've already chosen the best response.0is red one's correct or incorrect

ganeshie8
 one year ago
Best ResponseYou've already chosen the best response.2dw:1438630888592:dw

mathmath333
 one year ago
Best ResponseYou've already chosen the best response.0lol i am confused with difference between \(\color{red}{a}\) and \(\color{red}{\{a\}}\)

freckles
 one year ago
Best ResponseYou've already chosen the best response.2empty set is a set the empty set is a subset of any set the empty set is not always an element of a set

mathmath333
 one year ago
Best ResponseYou've already chosen the best response.0no, i mean what is the difference between the not for particularly empty set example \(\color{red}{\{1\}}\) and \(\color{red}{1}\)

ganeshie8
 one year ago
Best ResponseYou've already chosen the best response.2\(a\) : This is an \(element\), \(a\) \(\{a\}\) : This is a \(set\) which contains a single element, \(a\)

freckles
 one year ago
Best ResponseYou've already chosen the best response.2\[B=\left\{ \emptyset,a \right\} \text{ here we have } \emptyset \in B \text{ but we also have } \emptyset \subseteq B\]

mathmath333
 one year ago
Best ResponseYou've already chosen the best response.0ok i see that is a set

freckles
 one year ago
Best ResponseYou've already chosen the best response.2we said emptyset was a member of that set because it is actually in that set

ganeshie8
 one year ago
Best ResponseYou've already chosen the best response.2as you can see, sets can contain other sets as elements in them.

mathmath333
 one year ago
Best ResponseYou've already chosen the best response.0ii am confused about the last one also \(\{\emptyset\}\subset A\) this is true ?

mathmath333
 one year ago
Best ResponseYou've already chosen the best response.0as empty set is a subset of every set

mathmath333
 one year ago
Best ResponseYou've already chosen the best response.0i think the last one is true

freckles
 one year ago
Best ResponseYou've already chosen the best response.2\[B=\left\{ \emptyset,a \right\} \text{ here we have } \emptyset \in B \text{ but we also have } \emptyset \subseteq B \\ \text{ also } a \in B \text{ but } a \cancel{ \subseteq} B \text{ but } \{a\} \subseteq B \\ \] answer to latest question but that is the set containing the empty set treat that empty set as an element is the empty set an element of A?

mathmath333
 one year ago
Best ResponseYou've already chosen the best response.0frekels i don't understand how is this true in ur above sentense \(\emptyset \subseteq B\)

freckles
 one year ago
Best ResponseYou've already chosen the best response.2the empty set is a set and the empty set is a subset of any set

mathmath333
 one year ago
Best ResponseYou've already chosen the best response.0but that sign is of proper set right \(\Huge \subseteq\)

freckles
 one year ago
Best ResponseYou've already chosen the best response.2oh I never used that as the meaning for that notation

freckles
 one year ago
Best ResponseYou've already chosen the best response.2https://en.wikipedia.org/wiki/Subset as you see here people have different meanings for the notations

freckles
 one year ago
Best ResponseYou've already chosen the best response.2I always used that one thing to mean subset of

ganeshie8
 one year ago
Best ResponseYou've already chosen the best response.2\[\emptyset = \{~~\}\]

freckles
 one year ago
Best ResponseYou've already chosen the best response.2the empty set is also a proper subset of every set exluding the empty set that is the empty set is not a proper subset of itself

mathmath333
 one year ago
Best ResponseYou've already chosen the best response.0i mean that first u specified that \(B=\left\{ \emptyset,a \right\}\) and then u said that \(\emptyset \subseteq B\) is true but for that B should be \(B=\{\emptyset \}\) not \(B=\left\{ \emptyset,a \right\}\)

freckles
 one year ago
Best ResponseYou've already chosen the best response.2\[B =\{ \emptyset, a\} \text{ I never said } B =\{ \emptyset\} \text{ \in my example }\]

freckles
 one year ago
Best ResponseYou've already chosen the best response.2\[\emptyset \subseteq X \text{ is always true for any set} X\] unless that one symbols means proper set and that case the only exception is X being the empty set this is what I mean by empty set if a subset of every set

freckles
 one year ago
Best ResponseYou've already chosen the best response.2this is what I mean by empty set is a subset of every set

zzr0ck3r
 one year ago
Best ResponseYou've already chosen the best response.0often \(\subset\) and \(\subseteq\) are used interchangeably
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