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Maths - Unit 7 - Linear Inequalities - Form 1

.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:

 

  • Linear inequality in one variable is an unequal relationship between a number and a variable with power of 11.

  • Has more than one possible solution.

 

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.

TF

Maths - Unit 7 - Linear Inequalities - Form 1

.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:

 

  • Linear inequality in one variable is an unequal relationship between a number and a variable with power of 11.

  • Has more than one possible solution.

 

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.

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