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Solving Simultaneous Inequalities and Identifying Special Values

Solving Simultaneous Inequalities and Identifying Special Values

Secondary 3

By solving the pair of inequalities \(3(a-5)<2a-3\) and \(2-a\le 5a\), find

  1. the least possible value of \(a\),
  2. the greatest possible integer value of \(a\),
  3. the greatest possible perfect square value of \(a\).

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Answer:(i) \(\frac13\). (ii) \(11\). (iii) \(9\).

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