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Solving Linear Inequalities and Representing Solutions on a Number Line

Solving Linear Inequalities and Representing Solutions on a Number Line

Secondary 3

Solve the following inequalities, illustrating the solution on a number line.

  1. \(5x+3>7-x\)
  2. \(\frac{2x-3}{5}>7+3x\)
  3. \(\frac{1}{3}\left( \frac{1}{2}-x \right)\le \frac{1}{2}\left( 4x-1 \right)\)

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Answer:(i) \(x>\frac23\). (ii) \(x<-\frac{38}{13}\). (iii) \(x\ge\frac27\).

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