Final answer:
Jordan can use up to 84 tickets to play games after purchasing a bag of popcorn for 26 tickets, given that he starts with 110 tickets. The inequality to represent this situation is g ≤ 84, where g is the number of game tickets used.
Step-by-step explanation:
Jordan wants to use his 110 tickets to first buy a bag of popcorn that requires 26 tickets and then use the remaining tickets to play games. To represent this situation in an inequality, we compare the remaining tickets after buying the popcorn to any non-negative number of tickets he might use for games. Let g be the number of tickets Jordan uses for games. The inequality that represents this scenario is:
g ≤ 110 - 26
where g represents the number of tickets Jordan has left to play games after buying the popcorn. Since after Jordan buys the popcorn he has 110 - 26 = 84 tickets left, the inequality:
g ≤ 84 tells us that Jordan can use up to 84 tickets to play games.