Select all the correct answers.
The producer of a rock concert has a limited number of tickets left to sell in in each ticket category. There are as many platinum tickets available as gold tickets. The total number of silver and gold tickets available is 13. There are 13 more diamond tickets available than gold tickets. The people managing ticket sales know that there are at least 3,600 possible combinations in which these tickets can be sold. Which statements about the situation are true?

- The number of available silver tickets ranges from 5 to 12.
- The number of available silver tickets ranges from 1 to 8.
- The inequality -x4 + 169x2 − 3,600 ≥ 0 can be used to find the number of available gold tickets.
- The equation -x4 + 130x2 − 3,600 ≥ 0 can be used to find the number of available gold tickets.
- The equation x4 − 52x2 + 3,600 ≥ 0 can be used to find the number of available gold tickets.