Question

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.

Answer 1

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 ($\leq or \geq$), 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 $\leq$ (less than or less than or equal to), the underside of the line is shaded. If the sign is either > or $\geq$ (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.