Write an inequality to represent the following scenario: Hagrid's goal at the National Hotdog Eating Contest is to consume 32 hotdogs in 3 minutes. The number of hotdogs (h) he can actually consume in 3 minutes varies no more than 5 hotdogs.

To find the value of a variance add and subtract the variance from the original number.

The original number is 32 hot dogs.

The variance is 5 hot dogs.

32-5 = 27

32 + 5 = 37

This means he needs to eat between 27 and 37 hot dogs.

he inequality with variance is written as: 27 < h < 37