Answer:
Absolute value equation is:
|L - 72| ≤ 0.05
Solution is 71.05 ≤ L ≤ 72.5
Explanation:
We are told that the length (l) of the boards that the company received varies from a maximum length of 0.05 inches longer than 6 feet to a minimum length of 0.05 inches shorter than 6 feet.
From conversions, 1 ft gives 12 inches. Thus, converting the 6 ft to inches gives us; 6 × 12 = 72 inches
This means that minimum value of L is 72 - 0.05 and maximum is 72 + 0.05.
Thus,the absolute value equation is;
|L - 72| ≤ 0.05
Solving this gives;
L - 72 ≤ 0.05 and -(L - 72) ≤ 0.05
This gives;
L ≤ 72 + 0.05 and -L + 72 ≤ 0.05
L ≤ 72.05 and 72 - 0.5 ≤ L
L ≤ 72.05 and 71.05 ≤ L