7./ Let A, A, As.... be subsets of a metric space. (a) If B. Ut, A.,...

 

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7./ Let A₁, A₂, As.... be subsets of a metric space. (a) If B. Ut, A., prove that B, Ui. A, for n-1, 2, 3,..... (b) If BU, A., prove that BU.. A.. Show, by an example, that this inclusion can be proper. - 7./ Let A₁, A₂, As.... be subsets of a metric space. (a) If B. Ut, A., prove that B, Ui. A, for n-1, 2, 3,..... (b) If BU, A., prove that BU.. A.. Show, by an example, that this inclusion can be proper. -

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het Bn U1 A Since each Ai C Bn i h Therefore Vi Ai C Bn conversely by definition Bn Bn U Bh ... View the full answer