[Steps Shown] (a) Let A, B, C and D be sets. Prove that if A ⊆ C and B ⊆ D, then A * B ⊆ C * D. (b) Show that the converse of the statement
Question: (a) Let \(\mathrm{A}, \mathrm{B}, \mathrm{C}\) and \(\mathrm{D}\) be sets. Prove that if \(A \subseteq C\) and \(B \subseteq D\), then \(A \times B \subseteq C \times D\).
(b) Show that the converse of the statement in (a) is false.
(c) Under what additional hypothesis is the converse true? Prove your assertion.
Deliverable: Word Document 
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