If set , , then
Pick one
Solution
To solve this problem, let's analyze the sets and and their union step by step.
1. **Understanding Set :** The set is defined as . This means includes all real numbers that are less than 2.
2. **Understanding Set :** The set is defined as . This means includes all real numbers that are greater than 1 and less than 7.
3. **Finding the Union :** The union of sets and , denoted as , includes all elements that are in , in , or in both. Given the definitions of and , the union will include:
- All numbers less than 2 (from )
- All numbers greater than 1 and less than 7 (from )
Combining these, we see that includes all numbers less than 7, since it encompasses both the range of and the range of . Therefore, we can express the union as .
Hence, the correct answer is .