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Answer:
Let's analyze each statement based on the given system of linear inequalities:
1. \( d \ge 36 \) – Darius is at least 36 inches tall.
2. \( w < 68 \) – William’s height is less than 68 inches.
3. \( d \le 4 + 2w \) – Darius is no more than 4 inches taller than twice William’s height.
Given these inequalities, the statements that must be true are:
1. **Darius is at least 36 inches tall.**
- This is directly stated by the inequality \( d \ge 36 \).
2. **William’s height is less than 68 inches.**
- This is directly stated by the inequality \( w < 68 \).
3. **Darius is no more than 4 inches taller than twice William’s height.**
- This is directly stated by the inequality \( d \le 4 + 2w \).
Thus, the correct options are:
- Darius is at least 36 inches tall.
- William’s height is less than 68 inches.
- Darius is no more than 4 inches taller than twice William’s height.