Inequalities Involving Integers

Inequalities Involving Integers

TGM Original Questions

Given that \(\frac{2-x}{4}\le 3+x<11\) and \(0 < y < 5\), where \(x\) and \(y\) are integers, find the

  1. range of values of \(x\).
  2. greatest possible value of \({{\left( x+y \right)}^{2}}\).
  3. least possible value of \((x+y)(x-y)\).

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Answer:(i) \(-2\le x<8\) (ii) \(121\) (iii) \(-16\)

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