Divide the carrots between 2 (16-ounce) jars or 3 (10-ounce) jars. Divide the garlic and peppercorns among the jars.

Heat a medium saucepan over medium-low heat and add the cumin and coriander seeds. Toast, stirring often, for 30 seconds to 1 minute, or until fragrant. Divide the spices among the jars.

Place the vinegar, water, sugar, and salt in the saucepan and heat over medium heat. Stir until the sugar and salt dissolve, about 1 minute. Pour over the carrots.

Set aside to cool to room temperature, then cover the carrots and store in the fridge. They will be ready to eat after 3 days and will keep for up to 2 weeks.