This page focuses on translating real-world situations into mathematical inequalities and provides a comprehensive list of keywords associated with different mathematical operations.

Highlight: Mathematical phrases can be directly translated into inequality expressions using specific keywords.

Example: "More than" indicates addition, while "Decreased by" suggests subtraction in mathematical contexts.

Vocabulary: Keywords like "Product of" and "Quotient of" represent multiplication and division operations respectively in mathematical expressions.

Definition: Solving system of inequalities examples involves understanding how to translate word problems into mathematical expressions using these operational keywords.

This page introduces the fundamental concepts of linear inequalities and their graphical representations. The content explains how linear inequalities differ from linear equations and provides essential rules for solving them.

Definition: Linear inequalities are mathematical expressions that show the relationship between quantities that are not equal, using symbols like >, <, ≥, or ≤.

Highlight: When multiplying or dividing both sides of an inequality by a negative number, the inequality sign must be reversed.

Example: When graphing inequalities, use solid lines for ≤ or ≥, and dashed lines for < or >. For expressions like y > mx + b, shade the region above the line, while for y < mx + b, shade below the line.

Vocabulary: System of inequalities refers to multiple inequalities that must be solved simultaneously, with the solution being the region where all inequalities are satisfied.