Answer :
Answer:
[tex]378<x<678[/tex]
Step-by-step explanation:
Given : The DJ's cost between $219.00 and $369.00 per night and the light shows cost between $159.00 and $309.00 per night.
To Find: If you are booking both a DJ and a light show, write a compound inequality that represents the possible total amount you would pay, x.
Solution:
Let x be the total amount for both a DJ and a light show
DJ's cost between $219.00 and $369.00 per night
The light shows cost between $159.00 and $309.00 per night.
Minimum cost for Dj and light show both =Minimum DJ cost +Minimum light show cost
= 219+159
= 378
Maximum cost for Dj and light show both =Maximum DJ cost +Maximum light show cost
= 369+309
= 678
So, Compound inequality:Minimum cost for Dj and light show both <x<Maximum cost for Dj and light show both
Compound inequality: [tex]378<x<678[/tex]
Hence a compound inequality that represents the possible total amount you would pay, x. is [tex]378<x<678[/tex]