Final answer:
To solve the inequality |47 - 31| > ___, find the absolute value of the difference between 47 and 31, which is 16. The correct answer option could either be a. (-0,1/2) U [1.) or c. (-0,1 / 2) U (1.)
Step-by-step explanation:
To solve the inequality |47 - 31| > ___, we need to find the absolute value of the difference between 47 and 31. The absolute value of (47 - 31) is 16, so the inequality becomes 16 > ___.
Since there is a blank in the question, we cannot determine the exact value it is comparing to. However, we can determine the range of possible answers based on the given options. By looking at the options, option a. (-0,1/2) U [1.) and option c. (-0,1 / 2) U (1.) are both ranges that contain 16. Therefore, both options a and c could be correct.