Algebra-1

To solve the inequality 3 | 2t - 3 | - 5 > 16, we can follow these steps:

Step 1: Add 5 to both sides of the inequality:
3 | 2t - 3 | > 16 + 5
3 | 2t - 3 | > 21

Step 2: Divide both sides of the inequality by 3 (since 3 is positive, we do not need to flip the inequality):
| 2t - 3 | > 21/3
| 2t - 3 | > 7

Now, we have two cases to consider:

Case 1: 2t - 3 > 0
If 2t - 3 > 0, we can remove the absolute value symbols without changing the inequality:

2t - 3 > 7

Now, solve ...