The lawful speeds S on an interstate highway satisfy |S - 53.5| <= 20.5 Find the maximum and minimum speed limits by solving the absolute value equation |S - 53.5| = 20.5

Question

The minimum speed limit is 33ml / h * r

The maximum speed limit is __ mi / h * r

Answer 1

To solve the absolute value equation |S - 53.5| = 20.5, we can set up two separate equations:

1) S - 53.5 = 20.5
S = 74

2) -(S - 53.5) = 20.5
-S + 53.5 = 20.5
S = 33

So, the maximum speed limit is 74 mph and the minimum speed limit is 33 mph.