Suppose that A B. Show that Bc Ac

Chapter 1, Problem 1

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QUESTION:

Suppose that \(A \subset B\). Show that \(B^{c} \subset A^{c}\)

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QUESTION:

Suppose that \(A \subset B\). Show that \(B^{c} \subset A^{c}\)

ANSWER:

Step 1 of 2

When \(A \subset B\), the objective is to show that \(B^{c} \subset A^{c}\)

Let us consider the following sample space, denoted by S, as shown below

\(S=\{1,2,3,4,5,6\}\)

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