Graph x + 3y ≤ 6, indicating the solution set with cross hatching or shading. Explain how you determined where to draw the line and shade the area that represents the solution set.

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09-08-2017
Mathematics

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Graph x + 3y ≤ 6, indicating the solution set with cross hatching or shading. Explain how you determined where to draw the line and shade the area that represents the solution set.

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equestriangirl131 equestriangirl131 · Answer 1 · 2017-08-09T19:32:08+02:00

To graph this, first graph it like a linear equation. If the inequality sign is less then or equal to or more than or equal to ([tex] \leq or \geq [/tex]), then the line is solid. If the inequality sign is less than or more than (< or >), then the line is dotted. If the sign is either < or [tex] \leq [/tex] (less than or less than or equal to), the underside of the line is shaded. If the sign is either > or [tex] \geq [/tex] (more than or more than or equal to), then the upper side of the line is shaded and the shaded regions are the solutions to the inequality.