Proving identities of sets

**veturi** · February 1st 2009, 06:23 AM

Hello people!

I'm having a hard time with these few problems.
It's been ages since i've done anything with sets so I have pretty much forgotton everything.
I've been battling with these problems for 3 days now and to be honest haven't got nowhere so I'm pretty much in trouble since deadline for 'em is tomorrow

Any you guys could give a hand with these? Would really really appreciate it!

Ps. Sorry for bad english

Proof identity of sets;
(problems in attached image)

**princess_21** · February 1st 2009, 06:30 AM

try to draw a venn diagram.

**veturi** · February 1st 2009, 06:33 AM

Problem is that I have to prove them with definitions(right word?) and venn-diagrams are forbidden as final answers.

**Plato** · February 1st 2009, 07:25 AM

Here is some help on these.
$\begin{gathered} \left( {x,y} \right) \in A \times \left( {B \cup C} \right) \hfill \\ \left[ {x \in A} \right] \wedge \left[ {y \in \left( {B \cup C} \right)} \right] \hfill \\ \left[ {x \in A} \right] \wedge \left[ {y \in B \vee y \in C} \right] \hfill \\ \end{gathered}$
$\begin{gathered} \left[ {\left( {x \in A} \right) \wedge \left( {y \in B} \right)} \right] \vee \left[ {\left( {x \in A} \right) \wedge \left( {y \in C} \right)} \right] \hfill \\ \left[ {(x,y) \in \left( {A \times B} \right)} \right] \vee \left[ {(x,y) \in \left( {A \times C} \right)} \right] \hfill \\ \end{gathered}$
Please see if you can continue.

Thread: Proving identities of sets

LinkBack

Thread Tools

Display

Proving identities of sets

Similar Math Help Forum Discussions

Proving identities.

problem with proving identities using basic identities

Proving identities

Proving identities

Please help me with my proving identities

Search Tags