Inequalities and Their Solutions

Michelle introduces inequalities, explaining them with a Pac-Man analogy to clarify inequality signs. She demonstrates solving inequalities, emphasizing the importance of visualizing solutions on a line graph. Key differences between solving equations and inequalities are highlighted, particularly the need to flip signs when multiplying or dividing by negatives. The video includes complex examples and SAT-style problems, offering strategies for tackling these on exams. Michelle concludes with study tips and encourages viewers to suggest future topics.

What is the main topic discussed in Michelle's video?

• SAT Science

• SAT Writing

• SAT Math

• SAT Reading

How does Michelle describe the inequality signs using a familiar analogy?

• Using Pac-Man

• Using a ruler

• Using a scale

• Using a clock

What is the key difference between solving equations and inequalities?

• Equations have one solution, inequalities have a range

• Equations are harder to solve

• Inequalities have no solutions

• Equations and inequalities are solved the same way

When solving inequalities, when should you flip the inequality sign?

• When adding a positive number

• When subtracting a positive number

• When multiplying or dividing by a negative number

• When adding a negative number

What is the purpose of plotting inequalities on a number line?

• To visualize the range of solutions

• To confuse the solver

• To find the exact solution

• To make it look pretty

What does the phrase 'X is at most Y' mean in terms of inequalities?

• X is not equal to Y

• X is less than or equal to Y

• X is greater than Y

• X is equal to Y

In a compound inequality, what is the goal when solving for X?

• To get X on one side

• To eliminate X

• To multiply X by a constant

• To get X in the middle with two endpoints

In the SAT example, what is the first step to solve the inequality 0 < 3X - 2 < 1?

• Subtract 2 from all parts

• Add 2 to all parts

• Multiply all parts by 3

• Divide all parts by 3

What is the range of possible values for N if 6 < √N < 10?

• 38 to 98

• 35 to 101

• 37 to 99

• 36 to 100

In the final example, what is the correct approach to isolate X in the inequality 6X + 3 ≥ A?

• Add 3 to both sides

• Subtract 3 from both sides

• Multiply both sides by 6

• Divide both sides by 6