Green Bridge Learning Resource For Inequalities

Overview

An inequality is like an equation, but instead of saying two things are equal it says one is greater or less than the other. That single change lets you describe ranges of values: speeds up to a limit, ages of at least a certain number, regions on a graph.

In this lesson you will represent and interpret inequalities, including on a number line, and (at Extended) construct and solve linear inequalities and represent them on a graph as regions.

Lesson Evaluation

Congratulations on completing the lesson on Inequalities. Now that youve explored the key concepts and ideas, its time to put your knowledge to the test. This section offers a variety of practice questions designed to reinforce your understanding and help you gauge your grasp of the material.

You will encounter a mix of question types, including multiple-choice questions, short answer questions, and essay questions. Each question is thoughtfully crafted to assess different aspects of your knowledge and critical thinking skills.

Use this evaluation section as an opportunity to reinforce your understanding of the topic and to identify any areas where you may need additional study. Don't be discouraged by any challenges you encounter; instead, view them as opportunities for growth and improvement.

Solve 3x - 4 ⩽ 11. A. x ⩽ 3 B. x ⩽ 5 C. x ⩾ 5 D. x ⩽ 7 Answer: B
Solve -2x < 6. A. x < -3 B. x > -3 C. x < 3 D. x > 3 Answer: B
On a number line, x > 2 is shown by: A. a filled circle at 2, arrow right B. an open circle at 2, arrow right C. an open circle at 2, arrow left D. a filled circle at 2, arrow left Answer: B
Which inequality means 'x is at least 5'? A. x > 5 B. x < 5 C. x ⩾ 5 D. x ⩽ 5 Answer: C
Solve x + 3 > 10. A. x > 7 B. x > 13 C. x < 7 D. x > 3 Answer: A