The Equations and Inequalities: The Operation on the Inequalities

The video tutorial explains how to handle inequalities when performing operations such as addition, subtraction, multiplication, and division. It emphasizes that adding or subtracting a constant from both sides of an inequality does not change the inequality's direction. However, multiplying or dividing by a negative number requires reversing the inequality sign. The tutorial includes examples to illustrate these concepts and concludes with practice problems to reinforce understanding.

What happens to the inequality sign when you add the same number to both sides of an inequality?

• The sign reverses direction.

• The inequality sign disappears.

• The inequality becomes an equation.

• The sign remains the same.

If you multiply both sides of an inequality by a positive number, what happens to the inequality sign?

• It reverses direction.

• It remains unchanged.

• It becomes an equation.

• It becomes a strict inequality.

When dividing both sides of an inequality by a positive number, what is the effect on the inequality sign?

• The inequality sign is removed.

• The inequality becomes an equation.

• The sign remains unchanged.

• The sign reverses.

What must you do to the inequality sign when you multiply both sides by a negative number?

• Reverse its direction.

• Leave it unchanged.

• Convert it to an equation.

• Make it a strict inequality.

If you divide both sides of an inequality by a negative number, what happens to the inequality sign?

• It remains the same.

• It reverses direction.

• It becomes an equation.

• It becomes a strict inequality.