We will first graph each inequality separately, then combine the graphs. Next, we will name the vertices of the overlapping region, which can be also called feasible.
⎩⎪⎪⎨⎪⎪⎧x+y≤8y≥5x≥0(I)(II)(III)
Let's start!
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+y≤8x+y=8
Since the boundary line is not in slope-intercept form, we will rewrite it in slope-intercept form.
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