A linear equation represents a relationship where two expressions are equal, typically in the form (ax + b = 0), producing a specific solution or set of solutions. In contrast, a linear inequality expresses a relationship where one expression is greater than or less than another, such as (ax + b < 0), resulting in a range of possible solutions rather than a single value. This fundamental difference leads to different graphical representations: linear equations produce straight lines, while linear inequalities shade regions of the graph to indicate all possible solutions.
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