Practice Rules To Remember (2.1) - Linear Inequalities - IB 10 Mathematics – Group 5, Algebra
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Rules to Remember

Practice - Rules to Remember

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Practice Questions

Test your understanding with targeted questions

Question 1 Easy

Solve and graph: 2x - 5 > 1

💡 Hint: Isolate x by adding 5 to both sides.

Question 2 Easy

Graph: y < 3

💡 Hint: Consider where y is less than 3.

4 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

Question 1

What happens to the inequality sign when multiplying by a negative number?

True
False

💡 Hint: Remember the rules of transformations in inequalities.

Question 2

Which inequality uses a dashed line when graphed?

x ≥ 5
x < 5
x ≤ 5

💡 Hint: Think about open versus closed intervals.

2 more questions available

Challenge Problems

Push your limits with advanced challenges

Challenge 1 Hard

Create and solve a linear inequality based on a real-world scenario involving time management. For example, if a student has 5 hours of study time per week and each homework assignment takes 1 hour, what is the maximum number of assignments they can complete?

💡 Hint: Translate the scenario into an inequality where your variable represents the constraint.

Challenge 2 Hard

Graph the system of inequalities: x + y ≥ 9 and x - y < 3. Describe the solution region.

💡 Hint: Remember to shade the correct areas based on testing points for each inequality.

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