Linear Equations and Inequalities

Linear Equations and Inequalities

IP 2

Jia writes:
\begin {aligned} 5-2x&<11 \\ -2x&<6 \\ x&<-3.\end {aligned}

  1. Identify the incorrect step and correct the solution.

  2. Give a value that satisfies Jia’s answer but fails the original inequality.

  3. Does the correct solution have a least real value? Does it have a least integer value? Explain.

Solution:

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Answer:(a) \(x>-3\); (b) Counterexample \(-4\); (c) No least real value; least integer \(-2\).

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