Question

(-∞,0)∪(-5,2) 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.

Explanation:

Step1: Analyze the intervals

The first interval is \((-\infty, 7)\), which includes all real numbers less than 7. The second interval is \([-5, 2]\), which includes all real numbers from -5 (inclusive) to 2 (inclusive).

Step2: Find the union

The union of two intervals is the set of all elements that are in either interval. Since \([-5, 2]\) is a subset of \((-\infty, 7)\) (because all numbers from -5 to 2 are also less than 7), the union of \((-\infty, 7)\) and \([-5, 2]\) is just \((-\infty, 7)\).

Answer:

A. The set is \((-\infty, 7)\)