Prep the Ingredients: Rinse the split peas, chop the onion, dice the carrots, and mince the garlic.
Sauté Aromatics: In a large pot, heat the olive oil over medium heat. Add the onion and garlic, and sauté until fragrant and translucent (about 3-4 minutes).
Add Vegetables and Broth: Stir in the diced carrots and rinsed split peas. Pour in the broth, and bring to a boil.
Simmer: Reduce the heat to low, cover, and let it simmer for about 45 minutes, or until the split peas are soft and the soup has thickened.
Blend the Soup: For a creamier texture, use an immersion blender to partially puree the soup, leaving some peas and carrots intact for texture.
Finish with Vinegar: Stir in the apple cider vinegar and adjust seasoning with salt and pepper to taste.
Serve: Ladle the soup into bowls and enjoy with crusty bread or crackers.