Answer to Question #311431 in Discrete Mathematics for jian

Question #311431

Suppose that A, B, and C are sets such that A ⊆ B and B ⊆ C. Show that A ⊆ C.

Expert's answer

Let "x\\in A." Since "A\\subseteq B," we conclude that "x\\in B." Taking into account that "B\\subseteq C," we conclude that "x\\in C." Therefore, "A\\subseteq C."

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