The maximum and minimum length, l, of an 8 ft board with a tolerance of -1/4 and +1/4 in can be determined by solving the equation
(L-0.25)= 96
(L+0.25)= 96
(L-96)= 0.25
(L+96)= 0.25
the brackets symbolize the absolute value sign
6 years ago
Since board length can not be a negative value, then we eliminate the following statements:
|L-0.25| = 96
|L+0.25| = 96
|L+96| = 0.25
Hence, the correct equation is |L-96| = 0.25 but we still need to check as follows:
|L-96| = 0.25 (knowing that |0.25|=|-0.25|=0.25)
L-96 = 0.25 or L-96 = -0.25
L = 0.25 + 96 or L = -0.25 +96
L = 96.25 or L = 95.75
Hence, the maximum and minimum lengths of the board are 96.25 ft and 95.75 ft, respectively.
6 years ago
Answered By Saeed A
Since board length can not be a negative value, then we eliminate the following statements:
|L-0.25| = 96
|L+0.25| = 96
|L+96| = 0.25
Hence, the correct equation is |L-96| = 0.25 but we still need to check as follows:
|L-96| = 0.25 (knowing that |0.25|=|-0.25|=0.25)
L-96 = 0.25 or L-96 = -0.25
L = 0.25 + 96 or L = -0.25 +96
L = 96.25 or L = 95.75
Hence, the maximum and minimum lengths of the board are 96.25 ft and 95.75 ft, respectively.