Practice Example (5.1) - Linear Inequalities - IB 10 Mathematics – Group 5, Algebra
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Practice - Example - 5.1

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Practice Questions

Test your understanding with targeted questions

Question 1 Easy

Solve and graph: 3x - 7 > 5.

💡 Hint: Add 7 and then divide by 3.

Question 2 Easy

Graph: y ≤ x + 2.

💡 Hint: Remember the type of line based on the inequality.

4 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

Question 1

What is the inequality sign for 'less than or equal to'?

<
>

💡 Hint: Think about how you show that a value can be equal.

Question 2

If you solve -2x > 6, what must happen to the inequality?

True
False

💡 Hint: Remember the rule for negativity!

1 more question available

Challenge Problems

Push your limits with advanced challenges

Challenge 1 Hard

What is the solution to the system: 2x + y ≤ 10 and x - y < 2? Graph the solution.

💡 Hint: Identify each line and their restrictions before plotting.

Challenge 2 Hard

A company makes x widgets at $3 each and y gadgets at $5 each. With a budget of $100, write the inequality for the budget constraint and calculate how many of each widget and gadget can be made if they need to be bought together.

💡 Hint: Consider the combinations of x and y that would keep you under $100.

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