1e:["$","div",null,{"className":"p-6 md:p-8","children":["$","h1",null,{"className":" prose prose-lg max-w-none break-words prose-headings:font-bold prose-headings:text-slate-900 prose-p:text-slate-700 prose-p:leading-relaxed prose-strong:text-slate-900 prose-ul:list-disc prose-ol:list-decimal prose-li:text-slate-700 mb-4 [&_table]:w-auto [&_table]:max-w-full [&_table]:border-collapse [&_th]:border [&_th]:border-slate-300 [&_th]:px-3 [&_th]:py-2 [&_th]:text-left [&_td]:border [&_td]:border-slate-200 [&_td]:px-3 [&_td]:py-2 [&_table]:my-4 overflow-x-auto","dangerouslySetInnerHTML":{"__html":"

If A = {1,3,5}, B = {2,4}, C = {2,5,8}, find (A × B) ∩ (B × C).

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A × B = {(1,2), (1,4), (3,2), (3,4), (5,2), (5,4)}

B × C = {(2,2), (2,5), (2,8), (4,2), (4,5), (4,8)}

∴ (A × B) ∩ (B × C) = φ

It means that the two Cartesian products are disjoint.

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