Practice Solving Basic Linear Inequalities (5.1) - Unit 2: Algebraic Foundations: Unveiling Patterns & Relationships
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Solving Basic Linear Inequalities

Practice - Solving Basic Linear Inequalities

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Practice Questions

Test your understanding with targeted questions

Question 1 Easy

Solve the inequality: x + 3 < 10.

💡 Hint: What do you need to subtract from both sides?

Question 2 Easy

Solve the inequality: 2y >= 4.

💡 Hint: How can you isolate y from the equation?

4 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

Question 1

What do you do when you multiply or divide both sides of an inequality by a negative number?

Change the inequality sign
Leave the inequality sign unchanged
Add a positive number

💡 Hint: Think of how inequalities behave with negatives.

Question 2

True or False: x <= 5 includes the value 5.

True
False

💡 Hint: Check the symbol used in the inequality.

1 more question available

Challenge Problems

Push your limits with advanced challenges

Challenge 1 Hard

Solve the compound inequality: -2 < x + 3 <= 5.

💡 Hint: Be careful to isolate x on both segments of the inequality.

Challenge 2 Hard

A company's budget restricts expenses to be less than $5000. Write and solve this inequality.

💡 Hint: How do we express a limit using an inequality?

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