Solve one-step inequalities and represent solutions on a number line.
Match an inequality across several forms
Problem
Test \(\text{each}~\text{value}\) \(-1\), \(2\), \(6\), \(8\), \(9\), and \(11\) in \(x~-~3~\le~5\). Report the \(\text{complete}~\text{set}~\text{of}~\text{values}\) that make the inequality true.
Big Picture
What this problem is really about
Solve the inequality first so the six listed values can be compared with one clear inclusive boundary. Because adding the same number to both sides preserves order, the direction and equality bar remain unchanged. Test every supplied value against that bound, including negative values and the endpoint, and report the complete set rather than stopping after the first few that work.
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