Questions: 3,6,9,12,15 12,15,9,3,6

Transcript text: $\{3,6,9,12,15\} \_\{12,15,9,3,6\}$

Solution

Solution Steps

Solution Approach

To determine the relationship between the two sets, we need to check if they are permutations of each other. This means that both sets should contain the same elements, possibly in a different order.

Step 1: Define the Sets

We have two sets defined as follows: \[ \text{set1} = \{3, 6, 9, 12, 15\} \] \[ \text{set2} = \{12, 15, 9, 3, 6\} \]

Step 2: Check for Equality

To determine if the two sets are permutations of each other, we check if they contain the same elements. In this case, we can rearrange the elements of $\text{set2}$ to match those in $\text{set1}$: \[ \text{set2} = \{3, 6, 9, 12, 15\} \]

Step 3: Conclusion

Since both sets contain the same elements, we conclude that: \[ \text{set1} = \text{set2} \] Thus, they are permutations of each other.