Practice System Of Linear Inequalities (4) - Linear Inequalities - IB 10 Mathematics – Group 5, Algebra
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System of Linear Inequalities

Practice - System of Linear Inequalities

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Practice Questions

Test your understanding with targeted questions

Question 1 Easy

Graph the inequality x + y ≤ 10.

💡 Hint: Use a test point to find out where to shade!

Question 2 Easy

Find the solution region for the inequalities: y > 3 and x < 4.

💡 Hint: Consider the boundary lines and how they divide the plane.

4 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

Question 1

What does the overlapping region of a system of inequalities represent?

💡 Hint: Think about meeting multiple conditions at once.

Question 2

True or False: Systems of inequalities can have no solution.

True
False

💡 Hint: Consider two inequalities that don't overlap.

2 more questions available

Challenge Problems

Push your limits with advanced challenges

Challenge 1 Hard

You are planning a party with a budget of $200. You buy pizzas at $15 each and drinks at $5 each. Write a system of inequalities to represent this situation and find the feasible region.

💡 Hint: Limit your expenses to the budget while considering minimum values.

Challenge 2 Hard

A farmer has a total of 100 acres available. He wants to plant corn and soybeans. If corn requires 2 acres per unit and soybeans require 1 acre, write the inequality representing how many units of each crop he can plant.

💡 Hint: Think of the land as a limited resource requiring effective planning.

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