7 < −(−k − 3) + 2

Sure, let's solve the inequality step by step:

1. 7 < -(-k - 3) + 2
2. Simplify the double negative: 7 < k + 3 + 2
3. Combine like terms: 7 < k + 5
4. Subtract 5 from both sides to isolate k: 7 - 5 < k
5. Simplify to get the final answer: 2 < k

So, k must be greater than 2.