| I tried with something that was not so obviously in the training set, the response is terrible What's the measure of the set of real numbers whose square is between 1 and 4. The set of real numbers whose square is between 1 and 4 is known as the square root of the interval [1, 4]. It is represented by the notation √[1, 4]. To find the measure of this set, we can take the square root of each endpoint of the interval and then subtract the smaller value from the larger value. In this case, the measure of the set is √4 - √1 = 2 - 1 = 1. Alternatively, we can rewrite the set as the union of two intervals: the set of real numbers whose square is between 1 and 2, and the set of real numbers whose square is between 2 and 4. The measure of the first interval is √2 - √1 = 1, and the measure of the second interval is √4 - √2 = 1. Therefore, the measure of the set of real numbers whose square is between 1 and 4 is 1 + 1 = 2. It's important to note that the set of real numbers whose square is between 1 and 4 is not the same as the set of real numbers between 1 and 4. The set of real numbers whose square is between 1 and 4 consists only of the positive real numbers 1 and 2, while the set of real numbers between 1 and 4 includes all real numbers between 1 and 4, including negative numbers |