Question

Match each compound statement with its correct solution set determination method. (4 points)
Put responses in the correct response input area to answer the question. Select a response, navigate to the desired input area and insert the response. Responses can be selected and inserted using the space bar, enter key, left mouse button or touchpad. Responses can also be moved by dragging with a mouse.
x ≥ 3 and x ≤ 7
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x > 1 and x < 6
Press enter key to drop response here.
x + 2 = 5 or x - 3 = 4
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x < 2 or x > 5

Answer 1

Here are the appropriate methods for determining the solution sets for each compound statement:

1. **x ≥ 3 and x ≤ 7**
- This is a conjunction (AND) condition. The solution set is the intersection of the two inequalities.
- **Response:** Intersection of intervals.

2. **x > 1 and x < 6**
- Similar to the first statement, this is also a conjunction (AND) condition, where the solution set is also the intersection of the two inequalities.
- **Response:** Intersection of intervals.

3. **x + 2 = 5 or x - 3 = 4**
- This is a disjunction (OR) condition. The solution set is found by solving each equation separately and combining the results.
- **Response:** Union of solution sets.

4. **x < 2 or x > 5**
- Again, this is a disjunction (OR) condition where you are finding values that satisfy either of the inequalities.
- **Response:** Union of solution sets.

You can insert each response into the provided areas accordingly.