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Solving a Range of Linear Inequalities and Representing Solutions on a Number Line

Solving a Range of Linear Inequalities and Representing Solutions on a Number Line

Secondary 3

Solve the following inequalities, representing each solution on a number line.

  1. \(-2a+4>3\)
  2. \(3\left( 1-b \right)\ge b\)
  3. \(2\left( 3-c \right)\le 5\left( c+2 \right)\)
  4. \(\frac{5}{3}d-13<3\)
  5. \(\frac{1}{2}e+9\le \frac{1}{4}\left( 6e-7 \right)\)
  6. \(\frac{f-2}{3}-\frac{f+5}{4}>1\)

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Answer:(a) \(a<\dfrac{1}{2}\) (b) \(b\le\dfrac{3}{4}\) (c) \(c\ge-\dfrac{4}{7}\) (d) \(d<\dfrac{48}{5}\) (e) \(e\ge\dfrac{43}{4}\) (f) \(f>35\)

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