The number of non-text books read by college students ranges from 6 to 44 . Using B as the variable, write an absolute value inequality that corresponds to this range.
A) $| B - 38 | \leq 6$
B) $| \mathrm { B } - 19 | \leq 25$
C) $| B - 6 | \leq 38$
D) $| B - 25 | \leq 19$

Question

Quizplus · Accepted Answer

The correct absolute value inequality is $| B - 25 | \leq 19$. This is because the midpoint of the range from 6 to 44 is 25 (the average of 6 and 44), and the distance from this midpoint to either endpoint of the range is 19.

The Number of Non-Text Books Read by College Students Ranges ∣B−38∣≤6| B - 38 | \leq 6∣B−38∣≤6

The Number of Non-Text Books Read by College Students Ranges $| B - 38 | \leq 6$