A band needs to reserve studio time to make recordings. After 15 minutes of microphone setup, the band needs at least 75 minutes to make the recordings. What is the solution of an inequality showing the number of minutes (t) that the band must reserve?

The band needs 15 minutes for setup and at least 75 minutes for recording, so the total time needed is:

15 + 75 = 90

Therefore, an inequality showing the number of minutes (t) that the band must reserve is:

t ≥ 90

This inequality means that the band must reserve at least 90 minutes of studio time to make their recordings.