Find the number of items in the following sets. If there is an infinite number in a set enter oo (lower case o repeated 2 times). a) {2, 4, 6, ..., 22} has b) 10 20 30 11' 13' 17 has c) {7, 14, 21, ..., 63} has e) d) {-7, -14, -21,...} has 9 18 27 63 19' 19' 19 19 items. has items. items. items. items.
Find the number of items in the following sets. If there is an infinite number in a set enter oo (lower case o repeated 2 times). a) {2, 4, 6, ..., 22} has b) 10 20 30 11' 13' 17 has c) {7, 14, 21, ..., 63} has e) d) {-7, -14, -21,...} has 9 18 27 63 19' 19' 19 19 items. has items. items. items. items.
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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![**Instructions for Solving Set Problems**
Below are several sets. Your task is to find the number of items in each set. If a set contains an infinite number of items, indicate this by entering "oo" (lowercase letter 'o' repeated two times).
**Sets:**
a) \(\{2, 4, 6, \ldots, 22\}\) has [ ] items.
b)
\[
\left\{
\frac{10}{11}, \frac{20}{13}, \frac{30}{17}, \ldots
\right\}
\]
has [ ] items.
c) \(\{7, 14, 21, \ldots, 63\}\) has [ ] items.
d) \(\{-7, -14, -21, \ldots\}\) has [ ] items.
e)
\[
\left\{
\frac{9}{19}, \frac{18}{19}, \frac{27}{19}, \ldots, \frac{63}{19}
\right\}
\]
has [ ] items.
**Explanation of Notations:**
1. **Ellipsis (\ldots):** This symbol indicates that the sequence continues in the same pattern.
2. **Set Notation (\{\}):** Curly braces are used to list the elements of a set.
3. **Fraction Notation (\frac{}{}):** Indicates the division of two numbers.
**Example of Analysis:**
- **Arithmetic Sequence:** If analyzing arithmetic sequences, identify the common difference between terms.
- **Infinite Series:** Consider the sequence pattern to determine if it continues indefinitely.
Apply these principles to determine the number of elements in each set.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F5f98af52-4a9e-46ac-839b-814bd14cf5cc%2Faf7d4735-fbf8-4dda-b290-1144a410a0f4%2Fk35r0vl_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Instructions for Solving Set Problems**
Below are several sets. Your task is to find the number of items in each set. If a set contains an infinite number of items, indicate this by entering "oo" (lowercase letter 'o' repeated two times).
**Sets:**
a) \(\{2, 4, 6, \ldots, 22\}\) has [ ] items.
b)
\[
\left\{
\frac{10}{11}, \frac{20}{13}, \frac{30}{17}, \ldots
\right\}
\]
has [ ] items.
c) \(\{7, 14, 21, \ldots, 63\}\) has [ ] items.
d) \(\{-7, -14, -21, \ldots\}\) has [ ] items.
e)
\[
\left\{
\frac{9}{19}, \frac{18}{19}, \frac{27}{19}, \ldots, \frac{63}{19}
\right\}
\]
has [ ] items.
**Explanation of Notations:**
1. **Ellipsis (\ldots):** This symbol indicates that the sequence continues in the same pattern.
2. **Set Notation (\{\}):** Curly braces are used to list the elements of a set.
3. **Fraction Notation (\frac{}{}):** Indicates the division of two numbers.
**Example of Analysis:**
- **Arithmetic Sequence:** If analyzing arithmetic sequences, identify the common difference between terms.
- **Infinite Series:** Consider the sequence pattern to determine if it continues indefinitely.
Apply these principles to determine the number of elements in each set.
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