Inequality Operations and Their Effects

The video tutorial explains when and why inequality signs change during mathematical operations. It highlights that adding or subtracting any number, whether positive or negative, does not change the inequality sign. However, multiplying or dividing by a negative number flips the inequality sign. The tutorial uses examples to demonstrate these concepts, ensuring learners understand the rules for solving inequalities.

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

• The sign always changes.

• The sign stays the same.

• The sign changes only if the numbers are negative.

• The sign changes only if the numbers are positive.

If you start with the inequality 8 > 5 and add -2 to both sides, what is the resulting inequality?

• 6 > 3

• 6 = 3

• 6 >= 3

• 6 < 3

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

• The sign stays the same.

• The sign flips direction.

• The sign becomes an equal sign.

• The sign disappears.

If you multiply both sides of the inequality 8 > 5 by -2, what is the resulting inequality?

• -16 >= -10

• -16 = -10

• -16 > -10

• -16 < -10

What is the effect on the inequality sign when you subtract a positive number from both sides?

• The sign disappears.

• The sign becomes an equal sign.

• The sign stays the same.

• The sign changes direction.

Which operation will cause the inequality sign to flip direction?

• Dividing by a positive number

• Multiplying by a negative number

• Subtracting a negative number

• Adding a positive number

What happens to the inequality sign when you divide both sides by a negative number?

• The sign disappears.

• The sign flips direction.

• The sign stays the same.

• The sign becomes an equal sign.

If you divide both sides of the inequality 8 > 5 by -2, what is the resulting inequality?

• -4 = -2.5

• -4 > -2.5

• -4 >= -2.5

• -4 < -2.5

When adding or subtracting a negative number to both sides of an inequality, what happens to the inequality sign?

• The sign always changes.

• The sign stays the same.

• The sign changes only if the numbers are positive.

• The sign changes only if the numbers are negative.

What is the rule for the inequality sign when multiplying or dividing by a positive number?

• The sign changes only if the numbers are negative.

• The sign changes only if the numbers are positive.

• The sign stays the same.

• The sign always changes.