Suppose you measured the diameter of a tree trunk to be 5 cm. The actual diameter can vary by at most 0.4 cm, due to the error in measuring a non-flat surface. Write an absolute value inequality for the range of acceptable diameters and solve the inequality.
A. |d − 5| ≤ 0.4; 4.6 ≤ d ≤ 5.4
B. |d + 5| ≤ 0.4; −5.4 ≤ d ≤ −4.6
C. |d + 0.4| ≤ 5; −5.4 ≤ d ≤ 4.6
D. |d − 0.4| ≤ 5; −4.6 ≤ d ≤ 5.4
