1. The problem states that a consultant needs to make at least 720 this week. 2. She earns 120 for each new written piece (let's call the number of new pieces $x$) and 60 for each review (let's call the number of reviews $y$). 3. The total earnings from new pieces and reviews can be expressed as $120x + 60y$. 4. Since she needs to make at least 720, the inequality representing this is: $$120x + 60y \geq 720$$ 5. This means the total earnings must be greater than or equal to 720. 6. Therefore, the correct inequality is option A: $120x + 60y \geq 720$. Final answer: $120x + 60y \geq 720$