How to solve and graph a compound inequality as AND

The video tutorial explains compound inequalities, focusing on the 'and' type, where both conditions must be true. It demonstrates how to break down and solve these inequalities, emphasizing the importance of flipping the inequality sign when multiplying or dividing by a negative number. The tutorial also covers graphing compound inequalities, showing how to represent solutions on a number line and interpret the results.

What does the 'and' conjunction signify in a compound inequality?

• None of the conditions need to be true

• Either condition can be true

• Only one condition needs to be true

• Both conditions must be true simultaneously

When solving compound inequalities, what should you do if you multiply or divide by a negative number?

• Subtract a constant from both sides

• Keep the inequality sign the same

• Flip the inequality sign

• Add a constant to both sides

What is the first step in solving a compound inequality?

• Combine the inequalities into one

• Ignore the inequalities

• Break it apart into two separate inequalities

• Graph the inequalities

How do you graph a compound inequality?

• Graph only the second inequality

• Graph only the first inequality

• Graph the inequalities without combining them

• Graph each inequality separately and then combine them

When graphing the inequality A > -3, what type of dot is used at -3?

• Double dot

• Open dot

• No dot

• Closed dot

In the context of compound inequalities, what does the solution set represent?

• The range where both inequalities are true

• The range where any inequality is true

• The range where only one inequality is true

• The range where neither inequality is true

In a real-life scenario, what does a compound inequality with 'and' imply?

• Neither event needs to occur

• Only one event needs to occur

• Any event can occur

• Both events must occur together