Subject: Mathematics
Book: Maths Mastery
For a two-variable inequality such as y<2x+3, first graph the line y=2x+3. Because the inequality is strict (<), draw a dashed line. Then pick a test point not on the line (often (0,0)) to see which side satisfies the inequality. Shade that region. If y≤2x+3, use a solid line. This technique extends to design problems, feasible regions in linear programming, or any scenario bounding solutions in 2D. Consistent application ensures clarity on possible (x,y) pairs within real-world constraints like supply-demand, cost/time tradeoffs, or geometric regions.
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