Solve for the compound of inequality

3x-4<5 or 3x+4≥25

To solve the compound inequality, we need to solve each inequality separately and then combine the solutions.

For the first inequality, 3x - 4 < 5:
Adding 4 to both sides gives us: 3x < 9
Dividing both sides by 3 gives us: x < 3

For the second inequality, 3x + 4 ≥ 25:
Subtracting 4 from both sides gives us: 3x ≥ 21
Dividing both sides by 3 gives us: x ≥ 7

The compound inequality can be written as: x < 3 or x ≥ 7.