https://file.aiquickdraw.com/mathbot/file/173032559666757t7w5f3.jpg

Let's solve this step-by-step.

### Given Information:
1. Sets:  
   - \( R = \{1, 2, 6, 7\} \)
   - \( T = \{2, 6, 8\} \)

### Part (A): \(\{x | x \in R \text{ or } x \in T\}\)

This expression represents the **union** of sets \( R \) and \( T \), which is denoted by \( R \cup T \). The union of two sets includes all unique elements that are in either \( R \) or \( T \).

- Elements in \( R \): \( \{1, 2, 6, 7\} \)
- Elements in \( T \): \( \{2, 6, 8\} \)
- Union of \( R \) and \( T \): \( R \cup T = \{1, 2, 6, 7, 8\} \)

So, the answer for part (A) is:
\[
\{x | x \in R \text{ or } x \in T\} = \{1, 2, 6, 7, 8\}
\]

### Part (B): \( R \cup T \)

The notation \( R \cup T \) also asks for the **union** of sets \( R \) and \( T \), which we've already calculated as:
\[
R \cup T = \{1, 2, 6, 7, 8\}
\]

### Final Answers:

#### (A)
- Select **Option A** and enter \( \{1, 2, 6, 7, 8\} \).

#### (B)
- Select **Option A** and enter \( \{1, 2, 6, 7, 8\} \).

---

Would you like further details on set operations?

### Related Questions:
1. What is the difference between the union and intersection of sets?
2. How do we find the intersection of two sets?
3. What is the complement of a set?
4. How do Venn diagrams represent set operations?
5. Can we apply union and intersection to more than two sets?

### Tip:
In set notation, the union of sets combines all unique elements from both sets, removing any duplicates.

If R = {1, 2, 6, 7} and T = {2, 6, 8}, find the following sets: (A) {x | x ∈ R or x ∈ T} (B) R ∪ T

Learn how to find the union of sets R = {1, 2, 6, 7} and T = {2, 6, 8} with a step-by-step solution. This problem covers set theory concepts, including set notation and union of sets. Suitable for students in Grades 9-10.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation