If $Acap B subseteq bar{C}$ and $Acup C subseteq B$ then $Acap C=emptyset$











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Prove the following:
If $Acap B subseteq bar{C}$ and $Acup C subseteq B$ then $Acap C=emptyset$










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  • how do you know if it's very hard? did you try it? can you share with us what you have tried?
    – Siong Thye Goh
    Nov 28 at 2:23










  • I tried it using direct method.
    – Mharfe Micaroz
    Nov 28 at 2:24










  • I see, perhaps try by contradiction? it might give you more tools to use. Include your attempt directly in the post. Usually people are more willing to help if you include your attempt. Welcome to MSE.
    – Siong Thye Goh
    Nov 28 at 2:25










  • Work by contradiction. Suppose $xin Acap C$. Then $xin A$, so $xin Acup C$, so $xin B$, so ....
    – symplectomorphic
    Nov 28 at 2:25










  • Thanks so much.. Actually I need help in my set theory,
    – Mharfe Micaroz
    Nov 28 at 2:26















up vote
-4
down vote

favorite












Prove the following:
If $Acap B subseteq bar{C}$ and $Acup C subseteq B$ then $Acap C=emptyset$










share|cite|improve this question
























  • how do you know if it's very hard? did you try it? can you share with us what you have tried?
    – Siong Thye Goh
    Nov 28 at 2:23










  • I tried it using direct method.
    – Mharfe Micaroz
    Nov 28 at 2:24










  • I see, perhaps try by contradiction? it might give you more tools to use. Include your attempt directly in the post. Usually people are more willing to help if you include your attempt. Welcome to MSE.
    – Siong Thye Goh
    Nov 28 at 2:25










  • Work by contradiction. Suppose $xin Acap C$. Then $xin A$, so $xin Acup C$, so $xin B$, so ....
    – symplectomorphic
    Nov 28 at 2:25










  • Thanks so much.. Actually I need help in my set theory,
    – Mharfe Micaroz
    Nov 28 at 2:26













up vote
-4
down vote

favorite









up vote
-4
down vote

favorite











Prove the following:
If $Acap B subseteq bar{C}$ and $Acup C subseteq B$ then $Acap C=emptyset$










share|cite|improve this question















Prove the following:
If $Acap B subseteq bar{C}$ and $Acup C subseteq B$ then $Acap C=emptyset$







discrete-mathematics elementary-set-theory






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share|cite|improve this question













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edited Nov 28 at 3:21









Andrés E. Caicedo

64.6k8158246




64.6k8158246










asked Nov 28 at 2:21









Mharfe Micaroz

11




11












  • how do you know if it's very hard? did you try it? can you share with us what you have tried?
    – Siong Thye Goh
    Nov 28 at 2:23










  • I tried it using direct method.
    – Mharfe Micaroz
    Nov 28 at 2:24










  • I see, perhaps try by contradiction? it might give you more tools to use. Include your attempt directly in the post. Usually people are more willing to help if you include your attempt. Welcome to MSE.
    – Siong Thye Goh
    Nov 28 at 2:25










  • Work by contradiction. Suppose $xin Acap C$. Then $xin A$, so $xin Acup C$, so $xin B$, so ....
    – symplectomorphic
    Nov 28 at 2:25










  • Thanks so much.. Actually I need help in my set theory,
    – Mharfe Micaroz
    Nov 28 at 2:26


















  • how do you know if it's very hard? did you try it? can you share with us what you have tried?
    – Siong Thye Goh
    Nov 28 at 2:23










  • I tried it using direct method.
    – Mharfe Micaroz
    Nov 28 at 2:24










  • I see, perhaps try by contradiction? it might give you more tools to use. Include your attempt directly in the post. Usually people are more willing to help if you include your attempt. Welcome to MSE.
    – Siong Thye Goh
    Nov 28 at 2:25










  • Work by contradiction. Suppose $xin Acap C$. Then $xin A$, so $xin Acup C$, so $xin B$, so ....
    – symplectomorphic
    Nov 28 at 2:25










  • Thanks so much.. Actually I need help in my set theory,
    – Mharfe Micaroz
    Nov 28 at 2:26
















how do you know if it's very hard? did you try it? can you share with us what you have tried?
– Siong Thye Goh
Nov 28 at 2:23




how do you know if it's very hard? did you try it? can you share with us what you have tried?
– Siong Thye Goh
Nov 28 at 2:23












I tried it using direct method.
– Mharfe Micaroz
Nov 28 at 2:24




I tried it using direct method.
– Mharfe Micaroz
Nov 28 at 2:24












I see, perhaps try by contradiction? it might give you more tools to use. Include your attempt directly in the post. Usually people are more willing to help if you include your attempt. Welcome to MSE.
– Siong Thye Goh
Nov 28 at 2:25




I see, perhaps try by contradiction? it might give you more tools to use. Include your attempt directly in the post. Usually people are more willing to help if you include your attempt. Welcome to MSE.
– Siong Thye Goh
Nov 28 at 2:25












Work by contradiction. Suppose $xin Acap C$. Then $xin A$, so $xin Acup C$, so $xin B$, so ....
– symplectomorphic
Nov 28 at 2:25




Work by contradiction. Suppose $xin Acap C$. Then $xin A$, so $xin Acup C$, so $xin B$, so ....
– symplectomorphic
Nov 28 at 2:25












Thanks so much.. Actually I need help in my set theory,
– Mharfe Micaroz
Nov 28 at 2:26




Thanks so much.. Actually I need help in my set theory,
– Mharfe Micaroz
Nov 28 at 2:26















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