Question

The lawful speeds S on an interstate highway satisfy |S - 58.5| <= 19.5 Find the maximum and minimum speed limits by solving the absolute value equation |S - 58.5| = 19.5

Answer 1

To find the maximum and minimum speed limits, we need to solve the absolute value equation |S - 58.5| = 19.5.

First, let's solve for S - 58.5 = 19.5:

S - 58.5 = 19.5
S = 19.5 + 58.5
S = 78

Next, let's solve for S - 58.5 = -19.5:

S - 58.5 = -19.5
S = -19.5 + 58.5
S = 39

Therefore, the maximum speed limit is 78 mph and the minimum speed limit is 39 mph.