Solving Inequalities Using Multiplication or Division

The video tutorial covers solving inequalities using multiplication or division. It explains the properties of inequalities when using positive and negative values, emphasizing when to reverse the inequality symbol. The lesson includes examples of solving and graphing inequalities, with practice problems for reinforcement. The tutorial concludes with a summary of key points and a preview of future topics.

What is the main objective of solving inequalities using multiplication or division?

• To determine if the inequality symbol needs to be reversed

• To find the exact value of x

• To graph the solution on a number line

• To solve for y instead of x

When multiplying both sides of an inequality by a positive number, what happens to the inequality symbol?

• It reverses

• It remains the same

• It disappears

• It becomes an equal sign

If you divide both sides of an inequality by a positive number, what is the result?

• The inequality becomes an equation

• The inequality symbol disappears

• The inequality symbol remains unchanged

• The inequality symbol reverses

In the inequality 6x < -12, what is the first step to solve for x?

• Multiply both sides by 6

• Divide both sides by 6

• Subtract 6 from both sides

• Add 6 to both sides

What must you do when multiplying both sides of an inequality by a negative number?

• Add a constant to both sides

• Reverse the inequality symbol

• Keep the inequality symbol the same

• Subtract a constant from both sides

When dividing both sides of an inequality by a negative number, what is required?

• The inequality symbol must be reversed

• The inequality symbol disappears

• The inequality symbol remains unchanged

• The inequality becomes an equation

What is the solution to the inequality x/4 > 2.3 after solving and graphing?

• x ≤ 9.2

• x < 9.2

• x > 9.2

• x ≥ 9.2

True or False: You need to reverse the inequality symbol when multiplying both sides by a positive number.

• False

• True

True or False: When solving x divided by a negative number, you must reverse the inequality symbol.

• True

• False

What is the key takeaway when solving inequalities involving negative values?

• Reverse the inequality symbol when multiplying or dividing by a negative

• Always add a constant to both sides

• Never change the inequality symbol

• Ignore the inequality symbol