Linear Inequalities

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Linear Inequalities

  1. 1. Linear Inequalities
  2. 2. Background <ul><li>How do you graph x < 1 on the number line? </li></ul>
  3. 3. Background <ul><li>On the coordinate plane, x < 1 is graphed like this: </li></ul>
  4. 4. Background <ul><li>For inequalities on the coordinate plane: </li></ul><ul><li>< & > are represented with a dashed line </li></ul><ul><li>≤ & ≥ are represented with a solid line </li></ul>
  5. 5. x without y <ul><li>x > # </li></ul><ul><li>x ≤ # </li></ul>
  6. 6. y without x <ul><li>y > # </li></ul><ul><li>y ≤ # </li></ul>
  7. 7. Linear Inequalities with both x & y <ul><li>Make sure the inequality is in slope intercept form. </li></ul><ul><li>All the rules you know about inequalities apply here. </li></ul><ul><li>What variable is most important for a negative coefficient? </li></ul>
  8. 8. Linear Inequalities <ul><li>After the equation is in slope intercept form, graph the line. </li></ul><ul><li>Use a dashed line if the sign is < or >. </li></ul><ul><li>The big thing is, understanding where to shade. </li></ul><ul><li>The sign and the intercept help you know where to shade. </li></ul>
  9. 9. Linear Inequalities <ul><li>y > mx + b will be shaded toward the upper part of the graph using the intercept as a guide </li></ul>
  10. 10. Linear Inequalities <ul><li>y < mx + b will be shaded toward the lower part of the graph using the intercept as a guide </li></ul>

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