Comparing Complex Inequalities in Real Numbers

The video tutorial covers solving inequalities by converting numbers to decimals and comparing them. It includes four examples, each demonstrating how to find values that satisfy given inequalities, including handling negative values and identifying multiple solutions.

What is the first step in determining a value that makes an inequality true?

• Compare the numbers directly

• Convert all numbers to decimals

• Analyze the inequality

• Convert all numbers to fractions

Which value of x makes the inequality 34 < x < 34 true?

• 0.78

• 0.67

• 2.65

• 0.33

What is the decimal equivalent of 1/9 rounded to the nearest hundredth?

• 0.11

• 0.09

• 0.12

• 0.10

Which value of x makes the inequality 1/9 < x < √0.9 true?

• 0.09

• 1.00

• 0.80

• 0.09

What is the decimal equivalent of 29/4?

• 7.00

• 7.50

• 7.25

• 7.35

Which of the following values is greater than 7.25?

• 6.90

• 7.10

• 7.50

• 7.00

Which of the following values is not greater than 7.25?

• 28.00

• 8.00

• 7.50

• 7.00

What is the decimal equivalent of the negative square root of 81?

• -8.00

• -9.00

• -8.50

• -9.50

Which value of x is less than -√81?

• -0.10

• -8.94

• -0.11

• -9.11

Which of the following values is not less than -9?

• -9.25

• -9.11

• -9.06

• -8.94