Heat oil in heavy saucepan over medium-high heat. Add onions and garlic. Saute about 8 minutes or until onions are translucent. Add ground sirloin and cook until brown, breaking up meat with a spatula as it cooks. Add chili powder, salt, pepper, and jalapenos to the meat and onions. Stir in died tomatoes and chicken broth.
Reduce heat to low and simmer for at least 1 and a half hours.
Note- Wear gloves to mince the jalapenos. If you want your Atkin's chili a bit spicy, then mince the seeds and membranes with your jalapenos. If you want your chili milder, then remove the seeds and membranes from the jalapenos.
Note- Be sure to check that your spices, tomatoes, and broth don't contain added sugar. If they do, you will have to count them as part of your total carbohydrate intake for the day.
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