How to solve and graph a compound inequality as AND

How to solve and graph a compound inequality as AND

Assessment

Interactive Video

Mathematics, Business

11th Grade - University

Hard

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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.

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7 questions

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1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

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

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

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

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

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

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

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

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

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

Double dot

Open dot

No dot

Closed dot

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

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

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

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