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Linear Inequalities
 

Linear Inequalities

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    Linear Inequalities Linear Inequalities Presentation Transcript

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