Homework Graphing Inequalities and Solutions

Front

What are the points on the boundary line in a graph of an inequality?

Back

The points on the boundary line are part of the solution set if the inequality symbol is \( \leq \) or \( \geq \).

Front

What type of line is used when the inequality symbol is \( \leq \) or \( \geq \)?

Back

A solid line is used when the inequality symbol is \( \leq \) or \( \geq \).

Front

When graphing an inequality, how do you determine if the region is shaded above or below?

Back

The region is shaded below if the inequality symbol is \( < \) or \( \leq \) and above if it is \( > \) or \( \geq \).

Front

Is the point (3, 1) a solution for the inequality if the line is dotted?

Back

No, because it is located on the line and the line is dotted.

Front

How do you identify the correct inequality from a graph?

Back

Look at the slope and y-intercept of the line, and determine if the shading is above or below the line.

Front

What does a dotted line indicate in a graph of an inequality?

Back

A dotted line indicates that the points on the line are NOT included in the solution set.

Front

What does a solid line indicate in a graph of an inequality?

Back

A solid line indicates that the points on the line ARE included in the solution set.

Front

If the inequality is \( y > 3x - 2 \), how is the graph represented?

Back

The graph will have a dotted line for \( y = 3x - 2 \) and the region above the line will be shaded.

Front

What is the significance of the inequality symbol in graphing?

Back

The inequality symbol determines whether the boundary line is solid or dotted and which region is shaded.

Front

How do you determine if a point is a solution to an inequality?

Back

Substitute the point's coordinates into the inequality and check if the statement is true.