Answer:
[tex]378\le x\le 678.[/tex]
Step-by-step explanation:
If you are booking both a DJ and a light show and the DJs cost between $219 and $369 per night and the light shows cost between $159 and $309 per night, then the possible total amount you would pay x must be between $(219+159)=$378 (the least price) and $(369+309)=$678 (the greatest price).
A compound inequality will take look
[tex]378\le x\le 678.[/tex]