Question

The lawful speeds S on an interstate highway satisfy |S-60| <= 17.5. Find the maximum and minimum speed limits by solving the absolute value equation |S-60| = 17.5

Answer 1

Explanation:

Given the expression of the speed satisfying the equation |S-60|≤17.5

The inequality expression will return both a negative and positive value.

For the positive value of the function;

S-60 ≤17.5

S ≤17.5+60

S ≤ 77.5

For the negative value of the function;

-(S-60) ≤17.5

-S+60 ≤17.5

-S ≤17.5 -60

-S ≤ -42.5

multiply through by -1

S≥42.5

Hence the minimum speed limit is S≥42.5 while the maximum is S ≤ 77.5