Answer: 11
Step-by-step explanation:
2n is greater than 20, so 2n > 20. This solves to n > 10 after dividing both sides by 2. That inequality is the same as 10 < n.
5n is less than 60. It leads to 5n < 60. That solves to n < 12 after dividing both sides by 5.
To summarize:
- "2n is greater than 20" leads to n > 10, aka 10 < n.
- "5n is less than 60" leads to n < 12
Combine 10 < n with n < 12 to write a compound inequality:
10 < n < 12
The value n is between 10 and 12. We exclude each endpoint.
The only possible whole number that works here is n = 11