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# Graphing Linear Inequalities

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Graphing Linear inequalities in two variables

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### Graphing Linear Inequalities

1. 1. Graphing Linear Inequalities Inderjyot Kaur Tech 110 IMPACT October 16 th , 2008
2. 2. Standards <ul><li>California Standards for Algebra I </li></ul><ul><ul><li>6.0 Students graph a linear equation and compute the x - and y -intercepts (e.g., graph 2 x + 6 y = 4). They are also able to sketch the region defined by linear inequality (e.g., they sketch the region defined by 2 x + 6 y < 4). </li></ul></ul>
3. 3. Linear Inequality <ul><li>A linear inequality is describes an area of the coordinate plane that has a boundary line. </li></ul><ul><li>Every point in that region is a solution of the inequality. </li></ul>
4. 4. Graphing an Inequality <ul><li>Solve the equation for y (if necessary). </li></ul><ul><li>Graph the equation as if it contained an = sign </li></ul>
5. 5. Graphing an Equation <ul><li>Step 1: Find three ordered pair solutions. </li></ul><ul><li>Step 2: Plot the points found in step 1. </li></ul><ul><li>Step 3: Draw the graph. </li></ul>
6. 6. Solid or Dashed? <ul><li>Draw the line solid if the inequality is ≤ or ≥ </li></ul><ul><li>Draw the line dashed if the inequality is < or >  </li></ul>
7. 7. Check <ul><li>Pick a point not on the line to use as a test point. </li></ul><ul><li>The point (0,0) is a good test point if it is not on the line. </li></ul>
8. 8. Shade the Solution Set <ul><li>If the point makes the inequality true, shade that side of the line.  </li></ul><ul><li>If the point does not make the inequality true, shade the opposite side of the line. </li></ul>
9. 9. Slide Title – Conclusion <ul><li>We learnt how to graph an inequality </li></ul><ul><li>It is similar to graphing an Equation. </li></ul><ul><li>Write the inequality in slope intercept form. </li></ul><ul><li>Graph the equation. </li></ul><ul><li>Check a point on either side of the line. </li></ul><ul><li>Shade the solution set. </li></ul>
10. 10. Resources / References <ul><li>References: </li></ul><ul><ul><li>Picture credit regentsprep .org </li></ul></ul><ul><ul><li>Text, Picture credit MathWarehouse </li></ul></ul><ul><li>Resources: </li></ul><ul><ul><li>Try this application for graphing inequalities </li></ul></ul>