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.