Question

I need to figure this out in simplest form but I’m stuck

Answer 1

z ≥ 2

Explanation:

Step 1: Write inequality

-7z - (-5z - 4) ≤ -3z - 2 + 4z

Step 2: Solve for z

1. Distribute negative: -7z + 5z + 4 ≤ -3z - 2 + 4z
2. Combine like terms: -2z + 4 ≤ z - 2
3. Add 2z to both sides: 4 ≤ 3z - 2
4. Add 2 to both sides: 6 ≤ 3z
5. Divide both sides by 3: 2 ≤ z
6. Rewrite: z ≥ 2