Understanding Inequalities and Arrow Directions

The video tutorial explains how to solve inequalities, focusing on the importance of the direction of the inequality sign when multiplying or dividing by positive and negative numbers. It emphasizes that the direction of the inequality sign must be reversed when dividing by a negative number, regardless of the original numbers involved.

What happens to the direction of the inequality when both sides are divided by a positive number?

• The inequality is invalidated.

• The direction of the inequality changes.

• The direction of the inequality remains the same.

• The inequality becomes an equation.

Why is it incorrect to divide both sides of an inequality by a negative number without changing the direction?

• Because it makes the inequality an equation.

• Because it changes the value of the inequality.

• Because the direction of the inequality must be reversed.

• Because it is mathematically incorrect to divide by negative numbers.

What should you do when dividing both sides of an inequality by a negative number?

• Keep the direction of the inequality the same.

• Reverse the direction of the inequality.

• Convert the inequality into an equation.

• Add a constant to both sides.

Does the need to reverse the arrow direction depend on the original number on the right side being positive or negative?

• No, it depends on the number you are dividing by.

• Yes, it depends on both numbers.

• Yes, it depends on the original number.

• No, it does not depend on any number.

What determines whether you need to reverse the arrow direction in an inequality?

• The number you are dividing by.

• The original number on the right side.

• The product of both sides.

• The sum of both sides.