Liam is riding his bike at a rate of 7 miles per hour he wants to beat his own one day riding record to do so he has to run more than 32 miles he'sridden 4 miles which statement describes how many more hours liam must ride to beat his record. he must ride fewer than 4 more hours he must ride more than 4 more hours he must ride no less than 5 more hours he mus ride no more than 5 more hours

Let h represent the number of hours Liam must ride to beat his record.

distance-ridden + distance-to-ride ≥ record-distance
distance-ridden + (speed × time-to-ride) ≥ record-distance
  4 +7h ≥ 32 . . . . . . . . an inequality representing the distance Liam wants
  7h ≥ 28 . . . . . . . . . . subtract 4
  h ≥ 4 . . . . . . . . . . . . . divide by 7

He must ride for more than 4 hours.

The second one is the answer