Time for reading solving inequalities with decimals

The velocity of an object fired directly upward is given by V = 80 – 32t, where t is in seconds. 

When will the velocity be between 32and 64 feet per second?I will set up the compound inequality, and then solve for t:    32 < 80 – 32t < 64 
    32 – 80 < 80 – 80 – 32t < 64 – 80 
    –48 < –32t < –16    –48 / –32  >  –32t / –32  >  –16 / –32    1.5 > t > 0.5