Solving Compound Disjunction Inequalities on a Number Line

The video tutorial explains how to solve compound disjunction inequalities in one variable by graphing on a number line. It covers the use of open and closed circles to indicate whether a number is included in the solution set. The tutorial describes 'or' inequalities, where solutions lie along one arrow or the other on the number line. An example is provided to demonstrate solving and graphing these inequalities. Additionally, a real-world application involving a cross-country team tryout is discussed, illustrating how to apply these concepts practically.

What does an open circle on a number line indicate when graphing inequalities?

• The inequality is a conjunction.

• The number is not included in the solution set.

• The inequality is a compound inequality.

• The number is included in the solution set.

In a compound disjunction inequality, what do the arrows on the number line represent?

• The direction of the solution set.

• The intersection of the solution sets.

• The midpoint of the solution set.

• The endpoints of the solution set.

How do you solve a compound disjunction inequality?

• By graphing only one part.

• By solving both parts together.

• By solving each part separately.

• By ignoring the inequality signs.

In the cross-country team example, what does running faster than a 7-minute mile mean?

• You will be cut from the team.

• You will make the varsity team.

• You will be disqualified.

• You will not make the team.

What is the result if you run slower than a 9.5-minute mile in the cross-country example?

• You will not make the team.

• You will be cut from the team.

• You will be promoted to captain.

• You will make the varsity team.