Questions: If R=1,3,5,8 and T=1,5,7, find the following sets.
(A) x x ∈ R or x ∈ T
(B) RUT
(A) Select the correct choice below and fill in any answer boxes present in your choice.
A. x x ∈ R or x ∈ T= (Use a comma to separate answers as needed.)
B. x x ∈ R or x ∈ T is the empty set.
Transcript text: If $R=\{1,3,5,8\}$ and $T=\{1,5,7\}$, find the following sets.
(A) $\{x \mid x \in R$ or $x \in T\}$
(B) RUT
(A) Select the correct choice below and fill in any answer boxes present in your choice.
A. $\{x \mid x \in R$ or $x \in T\}=\{\square$ (Use a comma to separate answers as needed.)
B. $\{x \mid x \in R$ or $x \in T\}$ is the empty set.
Solution
Solution Steps
Solution
Step 1: List all elements of set $R$
The elements of set $R$ are: [8, 1, 3, 5]
Step 2: List all elements of set $T$
The elements of set $T$ are: [1, 5, 7]
Step 3: Combine all unique elements from both lists without repetition
After combining and removing duplicates, the elements are: [1, 3, 5, 7, 8]
Final Answer:
The union of sets $R$ and $T$, denoted as $R \cup T$, is: [1, 3, 5, 7, 8]