In Exercises 5 O through 10D, decide whether the object described is indeed a set (is well defined). Give an alternate description of each set. 5. {n E Z+ |n is a large number} 6. {n e Z|n2 < 0}
In Exercises 5 O through 10D, decide whether the object described is indeed a set (is well defined). Give an alternate description of each set. 5. {n E Z+ |n is a large number} 6. {n e Z|n2 < 0}
Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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Exercises 0
In Exercises 1 0 through 4 O, describe the set by listing its elements.
1. {a €R|2? = 3}
2. {m e Z m2+m
= 6}
3. {m e Z mn = 60 for some n E Z}
4. {x E Z x² – 10x + 16 < 0}
In Exercises 5 through 100, decide whether the object described is indeed a set (is well defined). Give
an alternate description of each set.
5. {n E Z+ n is a large number}
6. {n E Z n2 < 0}
7. {n e Z 39 < n³ < 57}
8. {r E Q When r is multiplied by a sufficiently large power of 2, one obtains a whole number.}
9. {x E Z+x is an easy number to factor}
10. {x E Q x may be written with positive denominator less than 4}
11. List the elements in {a, b, c} × {1,2, c}.
12. Let A = {1,2, 3} and B = {2,4,6}. For each relation between A and B given as a subset of
Ax B, decide whether it is a function mapping A into B. If it is a function, decide whether it is one-
to-one and whether it is onto B.
a. {{1, 2}, {2, 6}, {3, 4}}
b. [[1.31 and [5.711.
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