Understanding Inequalities and Multiplication

The video tutorial explains how to handle inequalities when multiplying both sides by positive or negative numbers. It emphasizes that multiplying by a positive number does not change the inequality sign, while multiplying by a negative number requires reversing the sign. The tutorial clarifies that the reversal is not dependent on the numbers on the right side of the inequality but solely on whether the multiplier is negative.

What happens to the inequality sign when both sides of an inequality are multiplied by a positive number?

• The inequality sign reverses.

• The inequality sign remains the same.

• The inequality sign becomes an equal sign.

• The inequality sign disappears.

If X > 3 and both sides are multiplied by 2, what is the resulting inequality?

• 2X < 6

• 2X = 6

• 2X ≥ 6

• 2X > 6

What must be done to the inequality sign when both sides are multiplied by a negative number?

• The inequality sign remains unchanged.

• The inequality sign is removed.

• The inequality sign is reversed.

• The inequality sign becomes an equal sign.

If X > -4 and both sides are multiplied by -2, what is the resulting inequality?

• -2X < 8

• -2X > 8

• -2X = 8

• -2X ≥ 8

Does the number on the right side of an inequality affect the need to reverse the inequality sign?

• Only if the number is positive.

• Yes, it always affects the sign.

• No, it never affects the sign.

• Only if the number is negative.

What is the primary factor that determines whether the inequality sign should be reversed?

• The position of the variable.

• The number on the right side of the inequality.

• The sign of the number being multiplied.

• The size of the numbers involved.

What should you remember when multiplying both sides of an inequality by a negative number?

• The inequality sign should become an equal sign.

• The inequality sign should be removed.

• The inequality sign should be reversed.

• The inequality sign should remain the same.

What is the key takeaway about multiplying inequalities?

• Reverse the sign based on the right-hand side number.

• Never reverse the inequality sign.

• Only reverse the sign when multiplying by a negative number.

• Always reverse the inequality sign.