Questions: Use graphs to find the set. ((-∞, 0) cap [-8,1)) Select the correct choice below and fill in any answer boxes within your choice. A. The set is (Type your answer in interval notation.) B. The answer is the empty set.

Solution Steps

To find the intersection of the intervals \((-∞, 0)\) and \([-8, 1)\), we need to determine the common values that lie within both intervals.

1. Identify the range of values in each interval.
2. Determine the overlap between these ranges.

We are given two intervals: \[ (-\infty, 0) \quad \text{and} \quad [-8, 1) \]

To find the intersection of these intervals, we need to identify the common values that lie within both intervals.

• The interval \((- \infty, 0)\) includes all values less than \(0\).
• The interval \([-8, 1)\) includes all values from \(-8\) to \(1\) (excluding \(1\)).

The common values between these intervals are from \(-8\) to \(0\) (excluding \(0\)).

Thus, the intersection is: \[ [-8, 0) \]

Final Answer