To determine if the given statement [tex]\((\text{ferry}, \text{skiff})\)[/tex] is a subset of [tex]\((\text{skiff}, \text{yacht}, \text{ferry}, \text{motorboat})\)[/tex], we need to check if every element of the first set is present in the second set.
Here are the elements of the two sets listed side by side:
- First set: [tex]\(\{\text{ferry}, \text{skiff}\}\)[/tex]
- Second set: [tex]\(\{\text{skiff}, \text{yacht}, \text{ferry}, \text{motorboat}\}\)[/tex]
We examine each element of the first set:
- The element [tex]\(\text{ferry}\)[/tex] is in the second set.
- The element [tex]\(\text{skiff}\)[/tex] is also in the second set.
Since all elements of the first set are present in the second set, we conclude that the first set is indeed a subset of the second set.
Therefore, the statement [tex]\((\text{ferry}, \text{skiff}) \subseteq (\text{skiff}, \text{yacht}, \text{ferry}, \text{motorboat})\)[/tex] is true.
The correct answer is:
OE. This statement is true.
