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7. Suppose that X is a set, that I is a nonempty set, and that for each i Є I that Yi is a set. Suppose that I is a nonempty set. Prove the following:2 (a) If Y; CX for all i EI, then Uiel Yi C X. 1See Table 4.8.1 in zyBooks. Recall: Nie X1 = Vi Є I (x = X1) and x = Uier X1 = i Є I (x Є Xi). (b) If XCY; for all i Є I, then X Ciel Yi. (c) U(x)=xnUY. iЄI ΕΙ

7. Suppose that X is a set, that I is a nonempty set, and that for each i Є I that Yi is a set. Suppose that I is a nonempty set. Prove the following:2 (a) If Y; CX for all i EI, then Uiel Yi C X. 1See Table 4.8.1 in zyBooks. Recall: Nie X1 = Vi Є I (x = X1) and x = Uier X1 = i Є I (x Є Xi). (b) If XCY; for all i Є I, then X Ciel Yi. (c) U(x)=xnUY. iЄI ΕΙ

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Elementary Geometry For College Students, 7e

Elementary Geometry For College Students, 7e

7th Edition

ISBN: 9781337614085

Author: Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher: Cengage,

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Transcribed Image Text:7. Suppose that X is a set, that I is a nonempty set, and that for each i Є I that Yi is a set. Suppose that I is a nonempty set. Prove the following:2 (a) If Y; CX for all i EI, then Uiel Yi C X. 1See Table 4.8.1 in zyBooks. Recall: Nie X1 = Vi Є I (x = X1) and x = Uier X1 = i Є I (x Є Xi). (b) If XCY; for all i Є I, then X Ciel Yi. (c) U(x)=xnUY. iЄI ΕΙ

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