
Algebra and Trigonometry (6th Edition)
6th Edition
ISBN: 9780134463216
Author: Robert F. Blitzer
Publisher: PEARSON
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Consider the following set written in set-builder notation
x| x E N, 5 < (or equal to) x < 15
1. write out in words the description of the given set
and
2. list the set using roster form
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- pls i need the full answer with the steps and for part a) choose any five numbersarrow_forwardeach part below, indicate (by making suitable arguments) whether the following sets are open (yes/no), closed yes/no), and bounded (yes/no). Hint: You should probably graph the following sets. The straight line connecting the points (a, b) and (c,d) (including the endpoints) in R² where a < barrow_forward2. Use set-builder notation to give a description of each of the following sets. Use mathematical symbols wherever possible. (a) {1, 2, 3, 4, 5} (b) {a, e, i, o, u} (c) {0, 5, 10, ...} (d) The half-open interval [−3, 5) (e) {..., -2,-ï, 0, π, 2π, ... } 1 1 1 (1) {1, 2'3'4'5arrow_forward
- Set A and set B are two sets within a universal set. You are interested in quantifying the union of the two sets. Draw a diagram that shows the universal set, set A, and set B. Then shade the union of sets A and B. Provide a real-world example of a collection of sets that are described by your diagram.arrow_forwardUse the extension of set-builder notation concepts and the roster method to write the given set. E = {3x2 − x|x N and x < 7} E = ______arrow_forwardthe follow Find the closure of each of the following sets: et og ned (a) (3,5) U {6} (b) (-∞, 0) U (0, 1)arrow_forward
- Prove whether this statement is true or false. For all sets A, B, and C: (see image)arrow_forwardDetermine the values of the following set expressions. < {0} {{0}} {0, {0}}-0 @U {{0}} {0}{0, {0}} {0} {{0}} {0, {0}} - {0} 1. {0, {0}} 2. {0} 3. Ø 4. {{0}}arrow_forwardLet A,B,C be sets with A = 50, |B| = 99, and C = 142. Draw a Venn Diagram to represent each of the following restrictions, and determine |AU BUC. (a) ACBCC. (b) The sets are pairwise disjoint (Read the second help link if you do not know what this means). (c) Sets A and B have 8 common elements, sets A and C have 11 common elements, sets B and C have 28 common elements, and there are 3 elements common to all three sets.arrow_forward
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