.2 | Linear Inequalities in One Variable |
|
Symbol ≥≥ | Symbol ≤≤ | At least Not less than Minimum
| At most Not more than Maximum
|
|
|
Example | Construct the linear inequality: The price, RMxRMx, of a double-storey terrace house is RM450000RM450000 and above. | The linear inequality is, x≥450000x≥450000. |
|
|
Solve problems involving linear inequalities in one variable: |
|
|
|
Example | Calculate: 16−5x≤−416−5x≤−4 | 16−5x≤−416−5x−16≤−4−16−5x≤−20−5x−5≥−20−5x≥4.16−5x16−5x−16−5x−5−5xx≤−4≤−4−16≤−20≥−5−20≥4. |
|
|
Solve simultaneous linear inequalities in one variable: |
|
Example | Solve: 8x+5≥5x−138x+5≥5x−13 and 3x−4>9x+203x−4>9x+20. | 8x+5≥5x−138x−5x≥−13−53x≥−18x≥−6.8x+58x−5x3xx≥5x−13≥−13−5≥−18≥−6. 3x−4>9x+203x−9x>20+4−6x>24x<−4.3x−43x−9x−6xx>9x+20>20+4>24<−4. | Thus, the solution is −6≤x<−4−6≤x<−4. |
|