Mathematics for Machine Technology
7th Edition
ISBN: 9781133281450
Author: John C. Peterson, Robert D. Smith
Publisher: Cengage Learning
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Chapter 38, Problem 18A
To determine
The value of equation
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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.
Chapter 38 Solutions
Mathematics for Machine Technology
Ch. 38 - Prob. 1ACh. 38 - Prob. 2ACh. 38 - Prob. 3ACh. 38 - Prob. 4ACh. 38 - Prob. 5ACh. 38 - Prob. 6ACh. 38 - Prob. 7ACh. 38 - Prob. 8ACh. 38 - List the following signed numbers in order of...Ch. 38 - Express each of the following pairs of signed...
Ch. 38 - Prob. 11ACh. 38 - Prob. 12ACh. 38 - Prob. 13ACh. 38 - Prob. 14ACh. 38 - Prob. 15ACh. 38 - Prob. 16ACh. 38 - Prob. 17ACh. 38 - Prob. 18ACh. 38 - Solve each of the following problems using the...Ch. 38 - Prob. 20ACh. 38 - Prob. 21ACh. 38 - Solve each of the following problems using the...Ch. 38 - Solve each of the following problems using the...Ch. 38 - Prob. 24ACh. 38 - Solve each of the following problems using the...Ch. 38 - Prob. 26ACh. 38 - Solve each of the following problems using the...Ch. 38 - Prob. 28ACh. 38 - Prob. 29ACh. 38 - Prob. 30ACh. 38 - Prob. 31ACh. 38 - Substitute the given numbers for letters in the...Ch. 38 - Substitute the given numbers for letters in the...Ch. 38 - Substitute the given numbers for letters in the...Ch. 38 - Substitute the given numbers for letters in the...Ch. 38 - Substitute the given numbers for letters in the...Ch. 38 - Substitute the given numbers for letters in the...Ch. 38 - Substitute the given numbers for letters in the...Ch. 38 - Substitute the given numbers for letters in the...Ch. 38 - Substitute the given numbers for letters in the...Ch. 38 - Substitute the given numbers for letters in the...
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