Questions and Answers
What inequality represents the sentence: The product of a number and 12 is no more than 15?
12n ≤ 15
What is the solution set for the inequality 26 + 6b ≥ 2(3b + 4)?
all real numbers
Write the inequality to find how many T-shirts the club needs to make and sell in order to profit at least $150.
15x - (9x + 20) ≥ 150
Is the inequality -2(2x + 9) > -4x + 9 sometimes, always, or never true?
Signup and view all the answers
What is the inequality represented by -2 ≤ 2x - 4?
Signup and view all the answers
Study Notes
Solving Inequalities Key Points
- The inequality representing "The product of a number and 12 is no more than 15" is expressed as 12n ≤ 15.
Understanding Solutions
- For the inequality 26 + 6b ≥ 2(3b + 4), the solution set includes all real numbers, meaning there are no restrictions on the value of b.
T-shirt Fundraising Problem
- The club's profit equation is formulated as 15x - (9x + 20) ≥ 150.
- Here, x represents the number of T-shirts sold.
- This equation aims to determine the minimum number of T-shirts needed to exceed a profit of $150.
Nature of Inequalities
- The inequality -2(2x + 9) > -4x + 9 is classified as never true, indicating that it has no solutions.
Additional Inequality
- The inequality -2 ≤ 2x - 4 represents a condition involving variable x.
Studying That Suits You
Use AI to generate personalized quizzes and flashcards to suit your learning preferences.
Description
Test your knowledge on solving inequalities with these flashcards. Each card presents a unique inequality to interpret and solve. This engaging method helps reinforce your understanding of algebraic concepts and applications.
