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

of studio time required for the band to make recordings?

The inequality would be:

x ≥ 90

where x represents the number of minutes of studio time required. This inequality states that the band needs at least 90 minutes of studio time (15 minutes for setup + 75 minutes for recordings).