Graphing Inequalities (coordinate plane)

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Graphing Inequalities (coordinate plane)

  1. 1. Graphing Linear Inequalities in Two Variables <ul><li>Graph a linear inequality in two variables </li></ul><ul><li>Model a real life situation with a linear inequality. </li></ul>
  2. 2. Graphing an Inequality in Two Variables Graph x < 2 Step 1: Start by graphing the line x = 2 Now what points would give you less than 2? Since it has to be x < 2 we shade everything to the left of the line.
  3. 3. Graphing a Linear Inequality Sketch a graph of y  3
  4. 4. Some Helpful Hints <ul><li>If the sign is > or < the line is dashed </li></ul><ul><li>If the sign is  or  the line will be solid </li></ul><ul><li>If the sign > or  the shading either goes up or to the right </li></ul><ul><li>If the sign is < or  the shading either goes down or to the left </li></ul>
  5. 5. Using What We Know Sketch a graph of x + y < 3 Step 1: Put into slope intercept form y <-x + 3 Step 2: Graph the line y = -x + 3
  6. 6. <ul><li>When dealing with slanted lines </li></ul><ul><li>If it is > or  then you shade above </li></ul><ul><li>If it is < or  then you shade below the line </li></ul>

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