Linear Inequalities with Rational, Integer, and Prime Constraints

Linear Inequalities with Rational, Integer, and Prime Constraints

TGM Original Questions

If \(3k-1\le 21\le 5k-3\), write down

  1. the largest rational value of \(k\),
  2. the smallest integer value of \(k\),
  3. the largest value of \(k\) if it is a prime number.

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Answer:(i) \(\displaystyle \frac{22}{3}\) (ii) \(5\) (iii) \(7\)

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