Solving Compound Inequalities: AND vs OR

The video tutorial explains compound inequalities, focusing on 'and' and 'or' types. It covers how to graph and solve these inequalities, providing examples for each type. 'And' inequalities involve overlapping regions, while 'or' inequalities involve separate regions. The tutorial demonstrates solving techniques for both types, emphasizing the importance of handling each inequality separately.

What is a compound inequality?

• A combination of two or more simple inequalities

• A single inequality with two variables

• An equation with one variable

• An equation with no variables

In an AND compound inequality, what does the graph represent?

• The sum of the simple inequality graphs

• The difference between the simple inequality graphs

• The intersection of the simple inequality graphs

• The union of the simple inequality graphs

How do you represent a boundary value that is not included in an AND compound inequality graph?

• With a dashed line

• With an open circle

• With a shaded region

• With a closed circle

What is the first step in solving the compound inequality -1 < 2x + 5 < 13?

• Divide all parts by 2

• Subtract 5 from all parts

• Add 5 to all parts

• Multiply all parts by 2

After solving the inequality -1 < 2x + 5 < 13, what is the next step?

• Add 5 to all parts

• Subtract 5 from all parts

• Multiply all parts by 2

• Divide all parts by 2

In an OR compound inequality, how do the graphs of the inequalities point?

• In the same direction

• In opposite directions

• Towards each other

• Away from each other

What does the graph of an OR compound inequality represent?

• The sum of the simple inequality graphs

• The difference between the simple inequality graphs

• The union of the simple inequality graphs

• The intersection of the simple inequality graphs

How do you solve the OR compound inequality x/3 < -2 or x/4 > 6?

• Combine the inequalities into one

• Solve each inequality separately

• Subtract one inequality from the other

• Add the inequalities together

What is the solution to the inequality x/3 < -2?

• x > 6

• x > -6

• x < 6

• x < -6

What is the solution to the inequality x/4 > 6?

• x > 24

• x < 24

• x < -24

• x > -24