Proper Subsets

Proper Subsets

Secondary 4

\(A \subset B\), \(A\) is a proper subset of \(B\) if all elements of \(A\) are elements of \(B\) and \(A\ne B\).

Consider the set \(B = \{2, 4, 6, 8, 10\}\) and \(A = \{4, 8\}\).

✔ Every element of \(A\) is an element of \(B\)

\(\;\;\;\,\) BUT \(B \neq A\).

\(\;\;\;\,\) \(\therefore A \text{ is a proper subset of}\hspace{0.5em} B.\)

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Answer:\(A=\{4,8\}\subset B=\{2,4,6,8,10\}\)

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