Given that E={a,b,c,d,g,f,h},A={a,b,d} and B={b,c,d,e,f} list (A union B)

Answer 1

To find the union of sets \(A\) and \(B\), we combine all the unique elements from both sets.

Given:

• \(A = {a, b, d}\)
• \(B = {b, c, d, e, f}\)

Now, we combine the elements:

1. Start with all elements from \(A\): \( {a, b, d} \)
2. Add the elements from \(B\) that are not already in \(A\): \( {c, e, f} \)

Now, combining these gives us:

\[ A \cup B = {a, b, c, d, e, f} \]

So, the union of sets \(A\) and \(B\) is:

\[ A \cup B = {a, b, c, d, e, f} \]