Solving and graphing an inequality by dividing by negative one

The video tutorial explains how to graph inequalities by first solving for the variable. It highlights the importance of changing the inequality symbol when dividing by a negative number. The tutorial guides students through plotting points on a graph, testing these points to determine if they satisfy the inequality, and understanding the concept of open circles. It emphasizes the need to graph towards true values and clarifies the meaning of inequality symbols.

What happens to the inequality symbol when you divide both sides by a negative number?

• It disappears.

• It remains the same.

• It changes direction.

• It becomes an equality.

When plotting points to test an inequality, what should you do with the main point if it is false?

• Fill it in.

• Erase it.

• Draw a line through it.

• Leave it open.

If a point to the left of the main point is true, what can be said about the other points?

• They are all false.

• They are all true.

• They are all equal.

• They are all undefined.

What does an open circle on a graph indicate about the inequality at that point?

• The inequality is true.

• The inequality is false.

• The inequality is equal.

• The inequality is undefined.

How do you represent a range of true values on a graph?

• With a solid line and arrows.

• With a dotted line.

• With individual dots.

• With a shaded area.