Solving a Three-Part Compound Inequality Involving Algebraic Fractions

Solving a Three-Part Compound Inequality Involving Algebraic Fractions

Secondary 3

It is given that \(\frac{3x-1}{4}\le \frac{7x+4}{3} < x+2\frac{2}{3}\).

  1. Solve the inequality.
  2. Hence, list the integer values of \(x\) that satisfy the inequality.

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Answer:(i) \(-1\le x<1\). (ii) \(-1,0\).

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