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Algebra II: Solving Inequalities Flashcards

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Algebra II: Solving Inequalities Flashcards

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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?

<p>Never</p> Signup and view all the answers

What is the inequality represented by -2 ≤ 2x - 4?

<p>2x - 4 ≥ -2</p> 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.

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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.