Question

when graphing the linear inequality \\(y \ge x - 2\\), the line should be solid.

true
false

Explanation:

Identify the inequality symbol

We are given the linear inequality \(y \ge x - 2\). The inequality symbol used here is \(\ge\) (greater than or equal to).

Determine the boundary line style

Using the Graphing Inequalities and Linear Inequalities knowledge points, we look at the inequality symbol to decide if the boundary line is solid or dashed:

• Strict inequalities (\(<\) or \(>\)) use a dashed line because points on the line are not solutions.
• Non-strict inequalities (\(\le\) or \(\ge\)) use a solid line because points on the line are included in the solution set.

Since our inequality is \(y \ge x - 2\), the boundary line must be solid.

Evaluate the statement

The statement says: "When graphing the linear inequality \(y \ge x - 2\), the line should be solid." Since the inequality contains "or equal to" (\(\ge\)), this statement is true.

Answer:

• True (Correct answer)
• False