Questions and Answers
Which represents the solution set of $5(x + 5) < 85$?
x < 12
A taxi service charges a flat fee of $1.25 and $0.75 per mile. If Henri has $14.00, which of the following shows the number of miles he can afford to ride in the taxi?
Which graph shows the solution set of the inequality $2.9(x + 8) < 26.1$?
For what number of hours does Grayson charge more than Ian if $h$ represents the number of hours?
Signup and view all the answers
Study Notes
Inequalities Overview
- Solution set for the inequality 5(x + 5) < 85 simplifies to x < 12.
- Represents a linear inequality indicating all values less than 12.
Taxi Service Fare Calculation
- Taxi service has a base charge of $1.25 plus $0.75 for each mile.
- Henri has a total budget of $14.00 for taxi fare.
- To determine the maximum miles he can afford, the inequality to solve would involve the flat fee and cost per mile.
Graphing Inequalities
- The solution set of the inequality 2.9(x + 8) < 26.1 must be represented on a graph.
- Visual representation helps in understanding the range of values that satisfy the inequality (option D indicates the correct graph).
Comparison of Tax Preparation Costs
- Grayson charges $35 per hour plus a $35 administration fee.
- Ian charges $45 per hour with a $15 administration fee.
- To find when Grayson becomes more expensive than Ian, set up the inequality involving hours (h) worked and solve for h.
Studying That Suits You
Use AI to generate personalized quizzes and flashcards to suit your learning preferences.
Description
Test your knowledge on inequalities with these flashcards. Each card presents a different inequality scenario requiring you to visualize or calculate the solutions. Perfect for students looking to reinforce their understanding of inequalities in mathematics.
