To solve the given system by graphing, we will first graph each inequality separately, then combine the graphs. The overlapping region will be the solution of the system.
⎩⎪⎪⎨⎪⎪⎧x+2y≤10x≥1y≥2(I)(II)(III)
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Inequality I
To graph an inequality, we first determine its boundary line. By changing the inequality symbol to an equals sign, the boundary line can be determined.
Inequality: BoundaryLine: x+2y≤10x+2y=10
Since the boundary line is not in slope-intercept form, we will rewrite it in slope-intercept form.
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