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# 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 (non-dashed 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 <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>If you multiply or divide by a negative number you have to flip the sign. </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 helps you know where to shade. </li></ul>
9. 9. Linear Inequalities <ul><li>y > will be shaded toward the top of the graph </li></ul>
10. 10. Linear Inequalities <ul><li>y < will be shaded toward the bottom of the graph </li></ul>
11. 11. Linear Inequalities <ul><li>y < will be shaded toward the bottom of the graph </li></ul>
12. 12. Linear Inequalities <ul><li>Since every graph lays on the coordinate plane differently, toward the top and toward the bottom is a bit subjective. </li></ul><ul><li>The best way to get a good feel for it is to work a lot of problems. </li></ul>