Fill in the blank with either E or e to make the statement true. {10}_{7+3,10 + 3} Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O A. The E symbol should be used because is an element of the set. O B. The symbol should be used because {10} is a set and none of the elements in {7+3,10 + 3} is a set. O C. The E symbol should be used because is not an element of the set. O D. The symbol should be used because is not an element of the set. O E. The symbol should be used because is an element of the set. OF. The E symbol should be used because (10} and (7+ 3.10 + 3} are equal sets.
Fill in the blank with either E or e to make the statement true. {10}_{7+3,10 + 3} Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O A. The E symbol should be used because is an element of the set. O B. The symbol should be used because {10} is a set and none of the elements in {7+3,10 + 3} is a set. O C. The E symbol should be used because is not an element of the set. O D. The symbol should be used because is not an element of the set. O E. The symbol should be used because is an element of the set. OF. The E symbol should be used because (10} and (7+ 3.10 + 3} are equal sets.
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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Please explain and answer.
![### Set Membership Identification
**Objective:** Identify whether the given set element belongs to the defined set using the appropriate mathematical symbol.
**Problem Statement:**
Fill in the blank with either ∈ or ∉ to make the statement true.
\[ \{10\} \, \_\_\_\_ \, \{7 + 3, 10 + 3\} \]
**Instructions:** Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
**Options:**
- **A.** The ∈ symbol should be used because \(\{10\}\) is an element of the set.
- **B.** The ∉ symbol should be used because \(\{10\}\) is a set and none of the elements in \(\{7+ 3, 10 + 3\}\) is a set.
- **C.** The ∈ symbol should be used because ______ is not an element of the set.
- **D.** The ∉ symbol should be used because ______ is not an element of the set.
- **E.** The ∉ symbol should be used because ______ is an element of the set.
- **F.** The ∈ symbol should be used because \(\{10\}\) and \(\{7 + 3, 10 + 3\}\) are equal sets.
**Explanation of Each Option:**
- **Option A:** Implies that \({10}\) is present within the set \(\{7+3, 10+3\}\).
- **Option B:** Points out that \(\{10\}\) is a set and none of the elements in \(\{7+3, 10+3\}\) are sets.
- **Option C to E:** Require additional information to validate the statement accurately.
- **Option F:** Suggests that \(\{10\}\) equals \(\{7 + 3, 10 + 3\}\), meaning both sets are identical.
**Note:** Make sure to understand the differences between elements and sets, as well as the use of symbols ∈ (element of) and ∉ (not an element of) in Set Theory.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F5ed9820d-51ee-4d65-b03a-4950bae70e40%2F8d429bfc-0263-4cee-85ae-b21f79933ac3%2Ffnftyl_processed.jpeg&w=3840&q=75)
Transcribed Image Text:### Set Membership Identification
**Objective:** Identify whether the given set element belongs to the defined set using the appropriate mathematical symbol.
**Problem Statement:**
Fill in the blank with either ∈ or ∉ to make the statement true.
\[ \{10\} \, \_\_\_\_ \, \{7 + 3, 10 + 3\} \]
**Instructions:** Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
**Options:**
- **A.** The ∈ symbol should be used because \(\{10\}\) is an element of the set.
- **B.** The ∉ symbol should be used because \(\{10\}\) is a set and none of the elements in \(\{7+ 3, 10 + 3\}\) is a set.
- **C.** The ∈ symbol should be used because ______ is not an element of the set.
- **D.** The ∉ symbol should be used because ______ is not an element of the set.
- **E.** The ∉ symbol should be used because ______ is an element of the set.
- **F.** The ∈ symbol should be used because \(\{10\}\) and \(\{7 + 3, 10 + 3\}\) are equal sets.
**Explanation of Each Option:**
- **Option A:** Implies that \({10}\) is present within the set \(\{7+3, 10+3\}\).
- **Option B:** Points out that \(\{10\}\) is a set and none of the elements in \(\{7+3, 10+3\}\) are sets.
- **Option C to E:** Require additional information to validate the statement accurately.
- **Option F:** Suggests that \(\{10\}\) equals \(\{7 + 3, 10 + 3\}\), meaning both sets are identical.
**Note:** Make sure to understand the differences between elements and sets, as well as the use of symbols ∈ (element of) and ∉ (not an element of) in Set Theory.
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