Linear Equations and Inequalities

Linear Equations and Inequalities

IP 2

An integer \(n\) satisfies: \[3n-2\geq-8,\qquad 2n+5<15.\]

  1. List all possible values of \(n\).

  2. Find the greatest and least values of \(E=7-2n\).

Solution:

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Answer:(a) \(n=-2,-1,0,1,2,3,4\); (b) Maximum \(11\) at \(-2\), minimum \(-1\) at \(4\).

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