Final answer:
The list of numbers properly sorted from least to greatest is option c) -2, |-3|, 4, |5|, 6, as it respects the order with -2 being the smallest and 6 being the largest in the sequence.
Step-by-step explanation:
The objective is to determine which group of numbers is listed from least to greatest.
- a) -6, |-4|, |1|, -1, |-2|
- b) -6, |-5|, |-3|, 2, |-9|
- c) -2, |-3|, 4, |5|, 6
- d) |-7|, -5, |-6|, 7, |-8|
To evaluate the lists, we must consider the absolute values where necessary. An absolute value of a number is the non-negative value of that number without regard to its sign. Hence, |-4| is 4, |1| is 1, |-2| is 2, and so forth. Comparing the real values in each option:
- a) -6, 4, 1, -1, 2 (Incorrect, since 4 is greater than 1 and 2)
- b) -6, 5, 3, 2, 9 (Incorrect, since -6 is not greater than 5 or 3)
- c) -2, 3, 4, 5, 6 (Correct, each number is lesser than the next)
- d) 7, -5, 6, 7, 8 (Incorrect, since -5 is not greater than 7 or 6)
The correct answer is c), as all numbers are ordered from least to greatest.