WarmUp 10 08 1 Solve through substitution 2

Warm-Up 10. 08 1. Solve through substitution: 2. Little Game Stoops earns $8. 00 per hour during the daytime and $9. 50 per hour in the evenings after 6: 00 pm. Last week, he earned $314 for 37 hours. Write the system of equations for this problem and determine the number of daytime hours he worked at. 3/5/2021 2: 54 PM 3. 3 - Solving Systems of Linear Inequalities 1

Work on Homework from yesterday Solving Systems of Equations by Graphing Worksheet 3/5/2021 2: 54 PM 3. 3 - Solving Systems of Linear Inequalities 2

Set up page for notes for today Unit 4 Day 6 3/5/2021 2: 54 PM Solve Systems of Linear Inequalities 3. 3 - Solving Systems of Linear Inequalities Tues 10/8/13 3

Solving Systems of Linear Inequalities Section 3. 3 3/5/2021 2: 54 PM 3. 3 - Solving Systems of Linear Inequalities 4

Recall Greater than OR equal to Less than Dotted Line 3/5/2021 2: 54 PM Solid Line 3. 3 - Solving Systems of Linear Inequalities 5

Example 1 Graph 3/5/2021 2: 54 PM 3. 3 - Solving Systems of Linear Inequalities 6

Example 2 Graph 3/5/2021 2: 54 PM 3. 3 - Solving Systems of Linear Inequalities 7

Example 3: Graphing Systems of Inequalities Graph the system of inequalities. y< – 3 y ≥ –x + 2

Example 4 Graph and find its vertices Vertex: (3, 4) Vertices: (3, 4) (-3, -2) (3, -2) 3/5/2021 2: 54 PM Vertex: (-3, -2) 3. 3 - Solving Systems of Linear Inequalities Vertex: (3, -2) 9

Example 5: Graphing Systems of Inequalities Graph each system of inequalities. y < – 3 x + 2 y ≥ – 1

Example 5 Graph each system of inequalities. determine the shape and its vertices Vertices: (-1, 0) (1, -2) (-1, -2)

Example 5 Graph and find its vertices Vertex: (3, 4) Vertices: (-1, 0) (1, -2) (-1, -2) 3/5/2021 2: 54 PM Vertex: (-3, -2) 3. 3 - Solving Systems of Linear Inequalities Vertex: 12 (3, -2)

Example 6 Graph , determine the shape and its vertices Vertices: (-1, 0) (1, -2) (-1, -2) 3/5/2021 2: 54 PM 3. 3 - Solving Systems of Linear Inequalities 13

Example 5 Graph each system of inequalities. y≤ 4 2 x + y < 1

Example 5 Graph and find the vertices Vertices: (2, 2) (-2, -2) (6, -2) 3/5/2021 2: 54 PM 3. 3 - Solving Systems of Linear Inequalities 15

Example 5 Calculator Only works on slope-intercept equations Graph and find the vertices Vertices: (2, 2) (-2, -2) (6, -2) 3/5/2021 2: 54 PM 3. 3 - Solving Systems of Linear Inequalities 16

Example 6 Graph x > – 2 y<1 and find the vertices y>½x-2 y ≤ – 2 x + 3 Vertices: (-2, 1) (1, 1) (2, -1) (-2, -3) 3/5/2021 2: 54 PM 3. 3 - Solving Systems of Linear Inequalities 17