Given:
DJ's cost between $219.00 and $369.00 per night.
Light show cost between $159.00 and $309.00 per night.
To find:
The compound inequality that represents the possible total amount would pay.
Solution:
Let x be the cost would pay.
DJ's cost between $219.00 and $369.00 per night.
[tex]219<x<369[/tex] ------------------- (1)
Light show cost between $159.00 and $309.00 per night.
[tex]159<x<309[/tex] ------------------- (2)
If you are booking both shows, then from (1) and (2)
[tex]219+159<x<369+309[/tex]
[tex]378<x<678[/tex]
The possible total amount would pay is 378 < x < 678.
