Create and solve one-variable equations and inequalities, including absolute-value, linear, quadratic, simple rational, and exponential cases.
Interpret solution candidates in context
Problem
A rectangle calculation gives \(x~=~5\) and \(x~=~-9\) as candidate side lengths, in centimeters. Classify every listed candidate in context.
Big Picture
What this problem is really about
Algebraic candidates still have to make sense for the quantity x represents. We’ll use the contextual rule that a rectangle side length must be positive, test each listed value separately against that domain, and keep or reject each candidate based on the sign of the physical measurement.
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