An entertainment firm offers several dj choices and light shows that range in price based on the rental time period. 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. 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.

219.00 + 159.00 = 378.00, the lowest cost of DJ & lights 369.00 + 309.00 = 678.00, the highest cost of DJ & lights This means the lowest cost would be $434.00, and the highest cost would be $678.00, which written as our compound inequality: $378.00 ≤ x ≤ $678.00 If we wanted to write it as an interval format, it would look like: [$378.00, $678.00] (We use brackets because it's less/greater than or equal to those amounts.)

Answerthe simplified expression isexplanationthe given expression is,let us deal with the bracket first.the two negatives in the parenthesis will become positive.the expression now becomes,we now expand the parenthesis to get,we group like terms to obtain,this simplifies to,