Write the following expression as a single interval. \( (-\infty, 1) \cap[-5,2] \)

To combine the intervals \( (-\infty, 1) \) and \( [-5, 2] \), we first understand what these intervals mean. The interval \( (-\infty, 1) \) includes all numbers less than 1, while \( [-5, 2] \) includes all numbers from -5 to 2, including both endpoints. When we take the intersection, we look for the overlap of both intervals. The overlapping range starts at -5 (the lower bound of the second interval) and goes up to 1 (the upper limit of the first interval). Thus, the result of the intersection is the interval \( [-5, 1) \).