Understanding Inequality Sign Flipping

In this video, Mr. J explains why the inequality sign is flipped when multiplying or dividing both sides of an inequality by a negative number. Through examples, he demonstrates that failing to flip the sign results in incorrect solutions. The video covers two main examples: one involving multiplication and the other division by a negative number, highlighting the necessity of flipping the inequality sign to maintain the truth of the inequality.

Why do we flip the inequality sign when multiplying or dividing by a negative number?

• To make the inequality true

• To change the inequality to an equation

• To make the inequality false

• To simplify the inequality

In Example 1, what happens to the inequality 2 < 5 when both sides are multiplied by -1?

• The inequality becomes an equation

• The inequality becomes false unless the sign is flipped

• The inequality remains the same

• The inequality becomes true without flipping the sign

What is the result of multiplying both sides of the inequality 2 < 5 by a positive number?

• The inequality remains true

• The inequality becomes false

• The inequality sign flips

• The inequality becomes an equation

In Example 2, what is the initial inequality given?

• -x > 8

• -2x < 8

• x < 8

• 2x > 8

What is the correct solution for x in the inequality -2x < 8 after solving?

• x = -4

• x > -4

• x < -4

• x > 4

Why is it necessary to flip the inequality sign when dividing by a negative number?

• To maintain the truth of the inequality

• To simplify the inequality

• To change the inequality to an equation

• To make the inequality false

What happens if you do not flip the inequality sign when required?

• The inequality remains unchanged

• You get the correct solutions

• You get incorrect solutions

• The inequality becomes an equation

In the conclusion, what is reiterated about flipping the inequality sign?

• It is only for equations

• It is only for positive numbers

• It is necessary for true inequalities

• It is optional

What is the effect of not flipping the inequality sign when dividing by a negative?

• The inequality becomes false

• The inequality becomes an equation

• The inequality becomes true

• The inequality remains unchanged

What is the main takeaway from the video regarding inequalities?

• Flip the sign only for positive numbers

• Never flip the sign

• Always flip the sign for any operation

• Flip the sign only when multiplying or dividing by a negative