Question

If A = \(\{a,e,i,o,u\},\) B = \(\{a,b,c\},\) then A $\cup$ B is:

• A. \{a,e,i,o,u\}
• B. \{a,b,c,e,i,o,u\}
• C. \{a,b,c\}
• D. \{a,e,i,o,u,a,b,c\}

Hint:

The union of two sets includes all elements from both sets, with no repetitions.

Answer 1

The Correct Option is B

Step 1: Understanding the union of sets.
The union of two sets combines all the elements from both sets, removing duplicates.
Step 2: Apply the union operation.
For sets A and B, the union A $\cup$ B includes all elements from both sets without repetition: \[ A \cup B = \{a,e,i,o,u\} \cup \{a,b,c\} = \{a,b,c,e,i,o,u\}. \]
Step 3: Conclusion.
The correct answer is (B) \{a,b,c,e,i,o,u\}. Final Answer:} \{a,b,c,e,i,o,u\}.