2(2.4z+3.5)≥_12.2

To solve this inequality, we'll follow these steps:

1. Distribute 2 to each term inside the parentheses: 2 * 2.4z + 2 * 3.5 ≥ 12.2
2. Simplify each term: 4.8z + 7 ≥ 12.2
3. Subtract 7 from both sides: 4.8z ≥ 12.2 - 7
4. Simplify: 4.8z ≥ 5.2
5. Divide both sides by 4.8: z ≥ 5.2 / 4.8

The final result is z ≥ 1.083.