Practice Solving Linear Inequalities In One Variable (2) - Linear Inequalities
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Solving Linear Inequalities in One Variable

Practice - Solving Linear Inequalities in One Variable

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Practice Questions

Test your understanding with targeted questions

Question 1 Easy

Solve and graph the inequality: 3x - 7 > 5.

💡 Hint: Start by adding 7 to both sides.

Question 2 Easy

Graph the inequality: x ≤ 2.

💡 Hint: Remember, ≤ means 2 is included.

4 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

Question 1

What should you do when multiplying both sides of an inequality by a negative number?

Keep the sign
Flip the sign
Leave it unchanged

💡 Hint: Think about how the direction of the inequality changes.

Question 2

True or False: The solution set of an inequality can include infinity.

True
False

💡 Hint: Consider the nature of inequalities.

2 more questions available

Challenge Problems

Push your limits with advanced challenges

Challenge 1 Hard

If 4x - 5 < 7, how do you solve for x and represent this graphically?

💡 Hint: Start by adding 5 to both sides.

Challenge 2 Hard

In the system x + y ≥ 10 and x < 2, what can we determine about the solution region?

💡 Hint: Consider the lines that establish the boundaries of the inequalities.

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Reference links

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