Multiplying or Dividing an Inequality by a Negative Value

The video tutorial explains the effect of multiplying or dividing an inequality by a negative number. It highlights the necessity to flip the inequality sign when dealing with negative values. The tutorial uses a number line to illustrate how values increase or decrease in positive and negative directions. An example with two points demonstrates how multiplying by negative numbers changes the inequality relationship, proving the need to reverse the inequality sign.

What happens to the inequality sign when you multiply or divide by a negative number?

• The inequality sign disappears.

• The inequality sign becomes an equal sign.

• The inequality sign flips direction.

• The inequality sign remains the same.

On a number line, what happens to values as you move to the right?

• They become more negative.

• They remain the same.

• They become more positive.

• They become zero.

If you multiply a positive number by negative one, what happens to its position on the number line?

• It moves to the right.

• It moves to the left.

• It stays in the same position.

• It becomes zero.

In the example given, what was the result of multiplying the number 1 by negative one?

• 1

• -1

• 0

• 2

Why does the inequality sign flip when multiplying by a negative number?

• Because the order of numbers on the number line changes.

• Because the number line becomes reversed.

• Because negative numbers are larger than positive numbers.

• Because negative numbers are smaller than zero.