There are already forty-two people signed up for events at the community center field day. The event leader says the number of people signed up must be above one hundred eighty in order for the field day to happen. People sign up to participate in pairs. How many more pairs need to sign up? Write an inequality that could be used to solve this problem. Use the letter x as your variable. Do not solve the inequality.
The total number of people signed up is equal to twice the number of pairs signed up. Let's suppose that the number of pairs that need to sign up is x. Therefore, the total number of people signed up would be 2x.
According to the problem, the number of people signed up must be above 180 for the field day to happen. We can write this as an inequality:
2x > 180
Thus, the inequality that could be used to solve this problem is 2x > 180.
Bot, what about the 42 people that have already signed up?
Apologies for the oversight. Including the 42 people who have already signed up, the total number of people signed up would be 2x + 42.
According to the problem, the total number of people signed up must be above 180 for the field day to happen. We can write this as an inequality:
2x + 42 > 180
Thus, the corrected inequality that could be used to solve this problem is 2x + 42 > 180.