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Systems

Learn about the difference between equations and inequalities, shading, solid and dashed lines, and how to graph and write systems of linear inequalities.

jdonnelly
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Systems

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  1. Systems Linear Inequalities

  2. Quick Review = • What is the difference between an equation and an inequality? Which one is shaded? • When is the line solid? • When is the line dashed (dotted)? • How do you figure out where to shade? Graph this inequality: y > x – 2 m = 1 b = -2 <,> Inequality ≤, ≥ <, > Pick a point to plug in.

  3. Graphing Systems of Linear Inequalities Graph each system 3. y < 2 4. y > x – 2 x ≥ -1y ≤ - ½ x + 3

  4. Graphing Systems of Linear Inequalities Graph each system 5. y > 2x – 5 6. y ≥ -x + 2 3x + 4y < 122x + 4y < 4

  5. Writing Systems of Linear Inequalities Equation Write the inequalities for each system 7. 8.

  6. Wrap Up Checking solutions – have to work for both equations Graphing Inequalities dashed (dotted) - < or > solid - ≤ or ≥ shading – select a point such as (0,0) Writing equations of inequalities

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