Solving Compound Inequalities in Algebra

This video tutorial by Mr. Bullock covers solving compound inequalities, which involve two inequalities joined by 'and' or 'or' statements. The tutorial explains how 'and' statements represent intersections and 'or' statements represent unions. It provides examples of graphing these inequalities and solving them algebraically. The video emphasizes the importance of correctly interpreting and graphing the solutions, with a focus on understanding the direction and shading of the graphs.

What is a compound inequality?

• An equation with no variables

• A single inequality with two variables

• Two inequalities joined by 'and' or 'or'

• An equation with one variable

What does an 'and' statement in a compound inequality represent?

• The union of two inequalities

• The intersection of two inequalities

• The sum of two inequalities

• The difference between two inequalities

How is an 'and' statement typically written?

• With the smaller number on the left and the bigger number on the right

• With both numbers on the right

• With the smaller number on the right and the bigger number on the left

• With both numbers on the left

What does an 'or' statement in a compound inequality represent?

• The difference between two inequalities

• The union of two inequalities

• The intersection of two inequalities

• The sum of two inequalities

How is an 'or' statement typically written?

• With both numbers on the right

• With both numbers on the left

• With the smaller number on the left and the bigger number on the right

• With the smaller number on the right and the bigger number on the left

What is the first step in solving an 'and' statement inequality?

• Divide both sides by a constant

• Multiply both sides by a constant

• Subtract a constant from both sides

• Add a constant to both sides

What happens to the inequality signs when you divide by a negative number?

• They flip direction

• They disappear

• They stay the same

• They become equal signs

Tags

CCSS.6.EE.B.8

In an 'and' statement, where is the variable typically located?

• It can be anywhere

• In the middle

• On the left side

• On the right side

What is the first step in solving an 'or' statement inequality?

• Multiply both sides by a constant

• Combine the inequalities

• Subtract a constant from both sides

• Solve each inequality separately

In an 'or' statement, how do the inequalities typically graph?

• In the same direction

• In opposite directions

• They overlap

• They do not graph

Tags

CCSS.HSA.REI.D.12