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Example: Solving and Graphing
To solve the inequality , begin faithfully by simplifying each side. Proper distribution rapidly produces . Consolidating like terms correctly cuts this parameter down to . Subtracting from both sides abruptly eliminates the variable entirely, producing the final numerical statement . Because this represents a mathematically true statement unconditionally, the inequality formally operates as an identity, signifying that its valid solution strictly comprises all real numbers. On a typical number line, this graphically involves shading the line altogether. In functional interval notation, this definitive solution is visibly transcribed as .
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Ch.2 Solving Linear Equations - Intermediate Algebra @ OpenStax
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