Part C. (8 points) write down the algebra constraints for the following requirements. Don't need to solve. 1. If project 1 is selected, then project 2 must be selected. 2. If project 1 is selected, then project 2 cannot be selected. 3. At least one of project 1,2, and 3 is selected. 4. Either project 1 or project 2 can be selected, but not both. 5. At most one of project 1 or 2 is selected. 6. No more than two of the seven projects can be selected. 7. Project 1 cannot be selected unless project 2 is selected. 8. Project 1 can be selected only when project 2 is selected