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It takes $250g$ of pasta and $240ml$ of sauce to make one batch of spaghetti, and it takes $600g$ of pasta and $700ml$ of sauce to make one batch of lasagna. Friedrich is a chef who wants to make spaghetti and lasagna using more than $4000g$ of pasta and more than $5000ml$ of sauce. Let $S$ denote the number of batches of spaghetti he makes and $L$ the number of batches of lasagna he makes. Write an inequality that represents the condition based on the number of grams of pasta.