| Step 1 | Solve each inequalitiy individually using the DC01* method |
| Step 2 | Graph each inequality's solution individually under the number line. |
| Step 3 | Using, two vertical lines, split the two graphs by there endpoints into three sections. Label the true and false areas with T's and F's. |
| Step 4 | If a section has one T include it in the final answer. |
Directions: Please solve and graph the following inequality. If there is no solution, please state, "No Solution". Also, graph the solution set.
2(a-6)-4<-12 OR -2a-6-8a<-36
Step 1
| D | 2a-12-4<-12 | OR | (no distribute needed) |
| C | 2a-16<-12 | OR | -10a-6<-36 |
| 0 | 2a<4 | OR | -10a<-30 |
| 1* | a<2 | OR | a>3 |
| (Here you must flip the symbol because we divide by -10.) |
Step 2
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. | 4x<-12 | OR | 3x-6>9 |
| 2. | 3(a+3)<-12 | OR | -2a<-20 |
| 3. | 2c+6+6c>22 | OR | 3(2x+4)<36 |
| 4. | y-6-5y<18 | OR | -y>-40 |
| 5. | 2(3b+2-b)<-2 | OR | 10b>50 |
| 6. | 2y+3<-9 | OR | 6y+5>23 |
| 7. | 6-2z+8z<42 | OR | 3z-1/2<18.5 |
| 8. | 4b-4>17-3b | OR | 7b-(4-2b)>32 |
| 9. | 8c<-64 | OR | c+2<0 |
| 10. | 4(x+3)<12x-8 | OR | 3x-15<45 |