Understanding Inequalities in Real-Life Scenarios

The video tutorial explains how to set up and solve an inequality based on a dinner check scenario. Veronica and Amanda's combined dinner check is less than $45.69. By letting 'v' represent Veronica's spending and 'a' Amanda's, the inequality v + a < 45.69 is established. With Veronica's spending known as $25, the inequality is simplified to solve for Amanda's spending. The tutorial demonstrates how to find values of 'a' that satisfy or do not satisfy the inequality, providing examples for clarity.

What inequality represents the combined dinner check of Veronica and Amanda being less than $45.69?

• v - a < 45.69

• v + a < 45.69

• v + a > 45.69

• v * a < 45.69

If Veronica's dinner expense is $25, what is the new inequality after substituting this value?

• a - 25 < 45.69

• 25 + a > 45.69

• a * 25 < 45.69

• 25 + a < 45.69

What operation is performed to isolate 'a' in the inequality 25 + a < 45.69?

• Add 25 to both sides

• Subtract 25 from both sides

• Multiply both sides by 25

• Divide both sides by 25

What is the maximum amount Amanda could have spent on dinner?

• $45.69

• $18.00

• $20.69

• $25.00

Which of the following values for 'a' makes the inequality 25 + a < 45.69 true?

• a = 20.69

• a = 25

• a = 22

• a = 18

If Amanda spent $22, what would be the status of the inequality 25 + a < 45.69?

• False

• True only if v is also 22

• True

• Cannot be determined

What does it mean for the inequality to be false in terms of Amanda's spending?

• Amanda spent less than $20.69

• Amanda spent exactly $20.69

• Amanda spent more than $20.69

• Amanda spent less than $25

Which value of 'a' would make the inequality 25 + a < 45.69 false?

• a = 19

• a = 20

• a = 21

• a = 18

If Amanda's expense is $18, what is the result of the inequality 25 + a < 45.69?

• Undefined

• True

• False

• Equal

What is the inequality that represents Amanda's spending being less than $20.69?

• a > 20.69

• a >= 20.69

• a < 20.69

• a = 20.69