Solving Inequalities and Graphing

Stan Lyle introduces a lesson on solving inequalities using multiplication and division, highlighting the importance of reversing inequality signs when dealing with negative numbers. The lesson includes interactive slides, example problems, and a word problem about school bus trips. Students are encouraged to practice with worksheets and quizzes.

What should you do when you encounter a 'you try it' slide during the lesson?

• Watch the solution immediately

• Take a break

• Pause the video and attempt the problem

• Skip to the next section

In the dog's party example, what does the variable 'D' represent?

• The total amount spent

• The dog's age

• The number of dogs invited

• The cost of party favors

How do you solve an inequality involving positive numbers?

• By subtracting a constant from both sides

• By adding a constant to both sides

• By treating it like an equation

• By reversing the inequality sign

What must you do when multiplying or dividing both sides of an inequality by a negative number?

• Keep the inequality sign the same

• Reverse the inequality sign

• Subtract a constant from both sides

• Add a constant to both sides

In the two-step inequality example, what is the first step to isolate the variable?

• Reverse the inequality sign

• Multiply both sides by a constant

• Divide both sides by a constant

• Add or subtract to remove constants

When graphing the solution of an inequality on a number line, what does a closed circle represent?

• The number is included in the solution

• The inequality is reversed

• The number is not included in the solution

• The inequality is unsolvable

In the simple inequality example, what does an open circle on the number line indicate?

• The number is not included in the solution

• The number is included in the solution

• The inequality is unsolvable

• The inequality is reversed

How many students can the school bus hold in the word problem example?

• 20 students

• 35 students

• 30 students

• 25 students

What is the first step in solving the inequality 6 - 2Z > 15?

• Divide both sides by 2

• Multiply both sides by 2

• Subtract 6 from both sides

• Add 6 to both sides