Unit 6: Systems of Inequalities:



Math 3 Hon: Unit 6 Name: __________________________

GRAPHING INEQUALITIES IN TWO VARIABLES:

STEP #1: Write the inequality in SLOPE-INTERCEPT FORM (y = mx + b)

Special Rule: Multiple or Divide by a negative number = switch inequality symbol

STEP #2: GRAPH the Line (RULE OF THUMB: has a line in symbol so needs to be solid)

DOTTED LINE:

Less (y ) Than

SOLID LINE:

Less (y ≤)/ Greater Than (y ≥) or Equal To

STEP #3: SHADING the Half-Plane

SHADE UP from line

GREATER ( y > or y >)

SHADE DOWN from line

LESS ( y < or y -2x + 1

2) y + 2 < 3x

3) –3y – 9x > – 15

SYSTEMS OF INEQUALITIES

System of Inequalities is 2 (or more) linear inequalities.

The SOLUTION to a System of Inequalities is where both inequality graphs OVERLAP on the same coordinate plane.

Example: Graphs of Both Inequalities SOLUTION:

[pic]

[pic]

EXAMPLES: Graph the solution for each system of inequalities:

1. [pic] 2. [pic]

[pic]

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Inequality Graphing Calculator Commands

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