# Answer to Question #25264 in Real Analysis for sweet

Question #25264

let A and B two subset of R, and let A+B:={a+b:a element A,b element B}.

prove that:

1) Sup(A+B)=Sup A + inf B

2) inf (A+B)= inf A + Sup B

prove that:

1) Sup(A+B)=Sup A + inf B

2) inf (A+B)= inf A + Sup B

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