Inequalities compare values that aren't equal, using symbols like <,...
Algebra 2150 views·Updated Aug 2, 2026·1 pageUnderstanding Inequalities for High School Students
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Inequalities
Inequalities show relationships between expressions that aren't necessarily equal. While equations use the = symbol, inequalities use comparison symbols like < (less than), > (greater than), ≤ (less than or equal to), and ≥ (greater than or equal to).
When solving inequalities, you can use the same basic operations as with equations—add, subtract, multiply, and divide on both sides. But here's a critical rule to remember: whenever you multiply or divide by a negative number, you must flip the inequality symbol. For example, when solving -3h > 15, dividing both sides by -3 gives you h < -5 (notice how > became <).
Graphing inequalities requires a number line and specific notation. Use an open circle for strict inequalities (< or >) to show the endpoint isn't included, and a filled circle for non-strict inequalities (≤ or ≥) to show the endpoint is included. Then draw an arrow pointing right for "greater than" expressions or left for "less than" expressions.
Remember: The direction of your arrow always follows the direction the inequality "opens" toward—right for greater than, left for less than!
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Algebra 2150 views·Updated Aug 2, 2026·1 pageUnderstanding Inequalities for High School Students
C
Chimmybt21 Fan@chimmybt21fan_xsyx
Inequalities compare values that aren't equal, using symbols like <, >, ≤, and ≥ instead of the equals sign. Understanding how to solve and graph these expressions will help you tackle more complex math problems and real-world scenarios where exact...
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Inequalities
Inequalities show relationships between expressions that aren't necessarily equal. While equations use the = symbol, inequalities use comparison symbols like < (less than), > (greater than), ≤ (less than or equal to), and ≥ (greater than or equal to).
When solving inequalities, you can use the same basic operations as with equations—add, subtract, multiply, and divide on both sides. But here's a critical rule to remember: whenever you multiply or divide by a negative number, you must flip the inequality symbol. For example, when solving -3h > 15, dividing both sides by -3 gives you h < -5 (notice how > became <).
Graphing inequalities requires a number line and specific notation. Use an open circle for strict inequalities (< or >) to show the endpoint isn't included, and a filled circle for non-strict inequalities (≤ or ≥) to show the endpoint is included. Then draw an arrow pointing right for "greater than" expressions or left for "less than" expressions.
Remember: The direction of your arrow always follows the direction the inequality "opens" toward—right for greater than, left for less than!
We thought you’d never ask...
Our AI companion is specifically built for the needs of students. Based on the millions of content pieces we have on the platform we can provide truly meaningful and relevant answers to students. But its not only about answers, the companion is even more about guiding students through their daily learning challenges, with personalised study plans, quizzes or content pieces in the chat and 100% personalisation based on the students skills and developments.
You can download the app in the Google Play Store and in the Apple App Store.
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