Solving Inequalities with MPOI and DPOI Techniques

Mrs. Angel teaches how to solve inequalities involving negative values. The lesson covers the effects of multiplying and dividing both sides of an inequality by a negative number, which requires flipping the inequality sign to maintain truth. Examples are provided to illustrate these concepts, followed by solving inequalities and verifying solutions through graphing. The lesson concludes with a recap of the key points.

What is the main topic of today's lesson?

• Understanding fractions

• Graphing linear equations

• Solving inequalities with negative values

• Solving equations with positive values

What happens to the inequality sign when you multiply both sides by a negative value?

• It disappears

• It becomes an equal sign

• It flips

• It stays the same

In the example where -2 is less than 5, what happens when both sides are multiplied by -3?

• The numbers on both sides remain the same

• The inequality sign does not change

• The inequality becomes false

• The inequality remains true

When dividing both sides of an inequality by a negative value, what must you do to the inequality sign?

• Leave it unchanged

• Flip it

• Change it to an equal sign

• Remove it

If 4 is less than 12, what happens when both sides are divided by -2?

• The numbers on both sides remain the same

• The inequality remains true

• The inequality becomes false

• The inequality sign flips

What is the first step in solving the inequality 3x + 5 ≤ -4?

• Subtract 5 from both sides

• Multiply both sides by 3

• Add 5 to both sides

• Divide both sides by 3

When solving 3x + 5 ≤ -4, what do you do after subtracting 5 from both sides?

• Divide both sides by 3

• Multiply both sides by 3

• Add 5 to both sides

• Subtract 3 from both sides

In the inequality 6 ≤ -2x, what happens when you divide both sides by -2?

• The numbers on both sides remain the same

• The inequality becomes an equation

• The inequality sign stays the same

• The inequality sign flips

What is the final step to ensure the inequality solution is correct?

• Rewriting the inequality

• Multiplying both sides by a positive number

• Graphing and checking the solution

• Adding the same number to both sides

What must you do when dividing both sides of an inequality by a positive value?

• Flip the inequality sign

• Leave the inequality sign unchanged

• Change the inequality to an equation

• Remove the inequality sign