Inequalities: Operations and Solutions

The video tutorial explains how to handle inequalities when performing multiplication and division. It highlights that multiplying or dividing an inequality by a positive number keeps the inequality true, while doing so with a negative number requires reversing the inequality symbol. Examples are provided to illustrate these concepts.

What happens to an inequality when you multiply or divide it by a positive number?

• The inequality becomes false.

• The inequality remains unchanged.

• The inequality symbol reverses.

• The inequality becomes an equation.

What is the result of multiplying both sides of an inequality by a positive number?

• The inequality symbol reverses.

• The inequality remains unchanged.

• The inequality becomes false.

• The inequality becomes an equation.

What happens to the inequality symbol when multiplying by a positive number?

• It reverses

• It remains unchanged

• It becomes an equal sign

• It becomes a plus sign

If 4x > 8, what is x when you divide both sides by 4?

• x < 2

• x = 2

• x > 8

• x > 2

If 4x > 8, what operation can you perform to isolate x?

• Add 8

• Multiply by 8

• Divide by 4

• Subtract 4

In the inequality 4x > 8, what is the value of x after solving?

• x > 4

• x < 4

• x > 2

• x < 2

What is the inequality for x if 4x > 8 after solving?

• x > 4

• x < 2

• x < 4

• x > 2

When multiplying or dividing an inequality by a negative number, what must you do?

• Keep the inequality symbol the same.

• Reverse the inequality symbol.

• Add a constant to both sides.

• Subtract a constant from both sides.

In the inequality -4x > 8, what is x when you divide both sides by -4?

• x > 2

• x > -2

• x < -2

• x = -2

What is the result of dividing both sides of an inequality by a negative number?

• The inequality becomes false.

• The inequality becomes an equation.

• The inequality symbol reverses.

• The inequality symbol remains the same.