6-5 Linear Inequalities.

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Presentation transcript:

6-5 Linear Inequalities

Objective Students will be able to graph linear inequalities.

Linear Inequalities A linear inequality is formed when the equal sign is replaced with an inequality symbol in an equation. A solution of an inequality is two variables that make the inequality true. Inequality symbols: < : less than ≤ : less than or equal to > : greater than ≥ : greater than or equal to

Linear Inequalities Put into slope intercept form. If you have to multiply or divide by a negative number, you must flip the inequality symbol.

Examples Together On Your Own 1) 12x + 6y > 24 2) 18x – 9y ≤ 27 a) 16x – 4y < 20 b) 8x + 2y ≤ 14

Graphing Inequalities If the inequality has a < or > symbol, the line will be dotted ( - - - - - ) If the inequality has a ≤ or ≥ symbol, the line will be solid ( _____ ) If the inequality has a < or ≤ symbol, shade below the line. If the inequality has a > or ≥ symbol, shade above the line.

Examples: Together

Examples: On Your Own

Homework Page 187 1-9 odd, 10, 12-18 even, 20, 21