| Step | Statement | Reason/Explanation |
|---|---|---|
| 1. | -3b-2 > 1 | Start with the given inequality |
| 2. | -3b-2+2 > 1+2 | Add 2 to both sides |
| 3. | -3b+0 > 3 | Combine like terms (notice how the -2 and +2 add to 0) |
| 4. | -3b > 3 | That zero goes away (since x+0 = 0+x = x) |
| 5. | -3b/(-3) < 3/(-3) | Now divide both sides by -3 to isolate b. See Note below |
| 6. | b < -1 | Divide |
Note: when you multiply or divide both sides of an inequality by a negative number, the inequality sign will flip.
So the final answer is b < -1
In interval notation, the answer is