Judith drove h hours at a rate of 55 mi/h. She did not reach her goal of driving 385 miles for the day. How long did she drive? Write an inequality and then solve for h.

If she did not reach her goal then

miles she drove must be less than 385

or

miles she drove<385

so rate=55 miles per hour

so

miles driven=h times 55

subsitute

55 times h<385

divide both sides by 55

h<7

she drove less than 7 hours

inequality=55h<385

h<7