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Linear Inequalities

by mc director, Teach, Tech, Library at School on Jan 22, 2007

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Linear InequalitiesPresentation 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 (non-dashed line)
• x without y
• x > #
• x ≤ #
• y without x
• y > #
• y ≤ #
• 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.
• 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.
• Linear Inequalities
• y > will be shaded toward the top of the graph
• Linear Inequalities
• y < will be shaded toward the bottom of the graph
• Linear Inequalities
• y < will be shaded toward the bottom of the graph
• 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.