| Step 1 | Solve each inequalitiy individually using the DC01*G method |
| Step 2 | Graph each inequality's solution individually under the number line. |
| Step 3 | Using, two vertical lines, split the two graphs by their endpoints into three sections. Label the true and false areas with T's and F's. |
| Step 4 | If a section has two T's include it in the final answer. |
Directions: Please solve the following inequality. If there is no solution, please state, "No Solution". Also, graph the solution set.
3(x+6)>9 AND -2x+6-8x>-34
Step 1 & 2 Do the DC01*G method.
| D | 3x+18>9 | AND | (no distribute needed) |
| C | (no collect needed) | AND | -10x+6>-34 |
| 0 | 3x>-9 | AND | -10x>-40 |
| 1* | x>-3 | AND | x<4 |
| (Here you must flip the symbol because we divide by -10.) |
G
Step 3
Step 4
Directions: Please solve the following inequalities. If there is no solution, please state, "No Solution". Also, graph the solution set.
| 1. | 2x>-10 | AND | 3x<9 |
| 2. | 3(a+3)>-12 | AND | -4a>-20 |
| 3. | 2x+3+6x>19 | AND | -3(2x+4)<36 |
| 4. | y-6-5y<18 | AND | -y>-40 |
| 5. | 2(3b+2-b)>-2 | AND | 2b<50 |
| 6. | 2y>-12 | AND | 9y+4<22 |
| 7. | 8-2z+8z>12 | AND | 3z-1/2<18.5 |
| 8. | 4b-4>17-3b | AND | 7b-(5-2b)<31 |
| 9. | 8c<-64 | AND | 5c>25 |
| 10. | 1/2(2x/3-5)>-5 | AND | 2x/3<60 |