Solving and Graphing Inequalities

Front

What is an inequality?

Back

An inequality is a mathematical statement that compares two expressions using inequality symbols such as <, >, ≤, or ≥.

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What does it mean to solve an inequality?

Back

To solve an inequality means to find all values of the variable that make the inequality true.

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What is the inequality symbol for 'greater than'?

Back

>

Front

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

Back

≤

Front

When do you flip the inequality symbol?

Back

You flip the inequality symbol when you multiply or divide both sides of the inequality by a negative number.

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Front

What does the solution of an inequality represent on a number line?

Back

The solution of an inequality represents a range of values on a number line, often shown with an open or closed dot and a line indicating the range.

Front

What is the difference between strict and non-strict inequalities?

Back

Strict inequalities use < or >, while non-strict inequalities use ≤ or ≥, allowing for equality.