Evaluating Inequalities and Solutions

In this video, Nancy Foot explains how to evaluate numbers to determine if they are solutions to inequalities. She demonstrates solving simple inequalities by treating them like equations and checking if the solution satisfies the inequality. The video also covers more complex examples where multiple values are tested to see if they satisfy the inequality. Nancy emphasizes the importance of writing down steps and provides tips for evaluating inequalities efficiently. Viewers are encouraged to practice these methods and reach out with questions.

What is the main topic discussed in the video?

• Solving quadratic equations

• Evaluating numbers as solutions to inequalities

• Understanding probability

• Graphing linear equations

When solving the inequality 2b ≤ 7, what is the first step?

• Graph the inequality

• Treat it as an equation 2b = 7

• Multiply both sides by 2

• Subtract 7 from both sides

If you solve 2b = 7, what is the value of b?

• 0

• 14

• 7

• 3.5

What should you do if you multiply or divide by a negative number when solving inequalities?

• Add 1 to both sides

• Flip the inequality sign

• Subtract 1 from both sides

• Keep the inequality sign the same

What should you do if the inequality sign needs to be flipped?

• Subtract 1 from both sides

• Add 1 to both sides

• Keep the inequality sign the same

• Multiply or divide by a negative number

In the inequality 64 > 11D, which value of D makes the inequality true?

• D = 7

• D = 4

• D = 10

• D = 12

What is the first step in evaluating an inequality with a given value?

• Substitute the value into the inequality

• Subtract the value from both sides

• Graph the inequality

• Multiply both sides by 2

What is the solution to the inequality 64 > 11 x 10?

• False

• Only true if 64 is negative

• Cannot be determined

• True

What is the solution to the inequality 64 > 11 x 12?

• True

• False

• Cannot be determined

• Only true if 64 is negative

What is the solution to the inequality 64 > 11 x 7?

• Only true if 64 is negative

• Cannot be determined

• False

• True