Mathematics For Machine Technology
Mathematics For Machine Technology
8th Edition
ISBN: 9781337798310
Author: Peterson, John.
Publisher: Cengage Learning,
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Chapter 16, Problem 16A
To determine

The nearer fraction of given decimal number using decimal equivalent table.

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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
8. For each of the following functions, determine whether or not it is (i) injective and/or (ii) surjective. Justify why or why not. (a) fiZZ defined by fi(n) = 2n. (b) f2 RR defined by f2(x) = x² − 4x+7. : (c) f3 Z {0, 1} defined by f3(n) = 0 if n is even and f3(n) = 1 if n is odd. (d) f4 Z N defined by f4(n) = 2n if n > 0 and f4(n) = -2n-1 if n < 0.
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