a In this part, we will write an inequality that represents the number of plays x we must attend for the season pass to be a better deal. The cost for x plays can be written as the following:
Cost of one play & * number of plays
$25 & * x
The cost 25* x can be also written as 25x. This must be greater than $180 if it would be cheaper to buy the season pass. Greater than is represented by > and the inequality can be written as the following:
25x>180
b In order to select the numbers, we need to solve the inequality that we found in Part A. Let's solve it by using inverse operations.
The solution tells us that the season pass is a better deal for more than 7.2 plays. This means that a season pass is not a better deal for the following numbers of plays:
{ 0, 1, 2, 3, 4, 5, 6, 7 }
