When graphing the line for an inequality, what type of line is used if the inequality is ≤ or ≥?

When graphing the line for an inequality that includes the symbols ≤ (less than or equal to) or ≥ (greater than or equal to), a solid line is used. The solid line indicates that the points on the line are included in the solution set of the inequality. This means that any point on the line satisfies the inequality condition.

For example, if you were to graph the inequality y ≤ 2x + 3, the solid line representing y = 2x + 3 indicates that all points on the line are valid solutions, as well as all points below the line. In contrast, if the inequality were simply < or >, a dashed line would be used, signifying that points on the line are not part of the solution set. This distinction is crucial for accurately representing the solution set of inequalities in mathematical problems.