SYSTEM OF INEQUALITIES Graphing

Linear Inequalities and System of Linear Inequalities  Make sure both inequalities are solved for y.  Graph like an equation (by hand), using b for the first point and m to get to other points.  Draw a line through the points.  Solid for ≥ and ≤  Dotted for > and <  Shade above or below the line.  Above (or right) for > and ≥  Below (or left) for < and ≤

Linear Inequality Example 1y ≥ 3x – 2  Make sure y is solved for.  Identify m and b.  Use m and b to graph the points on the graph.  y ≥ 3x – 2 it is  m = b =

Linear Inequality Example 1y ≥ 3x – 2  Decide if you will use a dotted line or solid line.  Decide if you will shade above or below.  Solid for ≥  Above for ≥

Linear Inequality Example 1y ≥ 3x – 2

System of Inequalitiesy < -3x – 2 Example 22x – y ≥ -4  y solved for?  Identify m and b  Graph points.  y < -3x – 2 it is  m = b =

System of Inequalitiesy < -3x – 2 Example 22x – y ≥ -4  Dotted or solid?  Above or below?  y < -3x – 2  Dotted for <  y < -3x – 2  Below for <

System of Inequalitiesy < -3x – 2 Example 22x – y ≥ -4  y solved for?  Identify m and b  Graph points.  2x – y ≥ -4is not -y ≥ -2x – 4 y ≤ 2x + 4  m = b =

System of Inequalitiesy < -3x – 2 Example 22x – y ≥ -4  Dotted or solid?  Above or below?  y ≤ 2x + 4  Solid for ≤  y ≤ 2x + 4  Below for ≤