Prove that if A1. A2, Anand B1, B2 Bn„ are sets such that

Chapter 5, Problem 38E

(choose chapter or problem)

Prove that if \(A_{1}, A_{2}, \ldots, A_{n}\) and \(B_{1}, B_{2}, \ldots, B_{n}\) are sets such that \(A_{j} \subseteq B_{j}\) for \(j=1,2, \ldots, n\), then

\(\bigcup_{j=1}^{n} A_{j} \subseteq \bigcup_{j=1}^{n} B_{j}\)

Equation Transcription:

Text Transcription:

A_{1}, A_{2}, \ldots, A_{n}

B_{1}, B_{2}, \ldots, B_{n}

A_{j} \subseteq B_{j}

j=1,2, \ldots, n

\bigcup_{j=1}^{n} A_{j} \subseteq \bigcup_{j=1}^{n} B_{j}