The lawful speeds S on an interstate highway satisfy |S-52.5|≤17.5. Find the maximum and minimum speed limits by solving the absolute value equation |S-52.5|=17.5

Question

the minimum speed limit is mi/hr

Answer 1

To solve the equation |S-52.5|=17.5, we can consider two cases:

1. S - 52.5 = 17.5:
Solving this equation, we find S = 70.

2. -(S - 52.5) = 17.5:
Simplifying, we have -S + 52.5 = 17.5. Solving for S, we get S = 35.

Therefore, the maximum speed limit is 70 mi/hr and the minimum speed limit is 35 mi/hr.