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Linear Inequalities
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Linear Inequalities

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Transcript

  • 1. Linear Inequalities
  • 2. Background
    • How do you graph x < 1 on the number line?
  • 3. Background
    • On the coordinate plane, x < 1 is graphed like this:
  • 4. Background
    • For inequalities on the coordinate plane:
    • < & > are represented with a dashed line
    • ≤ & ≥ are represented with a solid line (non-dashed line)
  • 5. x without y
    • x > #
    • x ≤ #
  • 6. y without x
    • y > #
    • y ≤ #
  • 7. Linear Inequalities
    • Make sure the inequality is in slope intercept form.
    • All the rules you know about inequalities apply here:
    • If you multiply or divide by a negative number you have to flip the sign.
  • 8. 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 helps you know where to shade.
  • 9. Linear Inequalities
    • y > will be shaded toward the top of the graph
  • 10. Linear Inequalities
    • y < will be shaded toward the bottom of the graph
  • 11. Linear Inequalities
    • y < will be shaded toward the bottom of the graph
  • 12. Linear Inequalities
    • Since every graph lays on the coordinate plane differently, toward the top and toward the bottom is a bit subjective.
    • The best way to get a good feel for it is to work a lot of problems.