Which is the first step in graphing an inequality?

Prepare for the TAMU MATH140 Mathematics Exam with study tools including flashcards and multiple choice questions. Each question comes with hints and explanations to help you excel. Get ready for your final exam!

The first step in graphing an inequality involves preparing to plot the line that represents the boundary of the inequality. By replacing the inequality sign with an equal sign, you create an equation that defines the boundary line. This line either includes or does not include points depending on whether the original inequality was strict (e.g., < or >) or non-strict (e.g., ≤ or ≥).

Once this line is established, you can determine whether the line should be solid or dashed (solid for non-strict inequalities and dashed for strict inequalities) and then proceed to the next steps, such as identifying slopes or intercepts and shading the appropriate area that satisfies the inequality.

This initial step is crucial because it sets the foundation for accurately representing the region where the inequality holds true.

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