Final answer:
Upon substituting x with 20 in the given inequalities, three options are revealed to be true: 20 + 30 < 3(20), 20 ÷ 4 < 20 - 12, and 2(20) < 20 + 22.
Step-by-step explanation:
To determine which inequality is true for x = 20, we can substitute x with 20 in each option and see if the inequality holds.
- Option A: 20 + 30 < 3(20) → 50 < 60, which is true.
- Option B: 20 - 5 < 2(20) - 35 → 15 < 5, which is false.
- Option C: 20 ÷ 4 < 20 - 12 → 5 < 8, which is true.
- Option D: 2(20) < 20 + 22 → 40 < 42, which is true.
Now, we need to check which of these inequalities is a part of the options provided.
Options A, C, and D are all true, but we have to select the one that was given in the student's original choices. Without knowledge of the student's choices, we cannot confidently provide the correct lettered answer. Hence, we can affirm that three inequalities hold true when x = 20, specifically options A, C, and D based on general mathematics, without reference to the given options in the question.