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.

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.
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Solution

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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]

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