The library needs at least 15 people to sign up for an event in order to run it . Currently, 3 people have signed up , and the library expects 2 more more people . After how many days will the library be sure it can run the event ? Write an inequality

Let x be the number of days.

The number of people signed up after x days is 3 + 2x.

To ensure that at least 15 people have signed up, we set up the inequality:

3 + 2x ≥ 15

Subtracting 3 from both sides:

2x ≥ 12

Dividing both sides by 2:

x ≥ 6

Therefore, the library will be sure it can run the event after at least 6 days.