3Graphing an Inequality in Two Variables Graph x < 2Step 1: Start by graphing the line x = 2Now what points would give you less than 2?Since it has to be x < 2 we shade everything to the left of the line.
6Graphing a Linear Inequality Sketch a graph of y 3
7Some Helpful Hints If the sign is > or < the line is dashed If the sign is or the line will be solidWhen dealing with just x and y.If the sign > or the shading either goes up or to the rightIf the sign is < or the shading either goes down or to the left
8Step 1: Put into slope intercept form Using What We KnowSketch a graph of x + y < 3Step 1: Put into slope intercept formy <-x + 3Step 2: Graph the line y = -x + 3
9When dealing with slanted lines If it is > or then you shade aboveIf it is < or then you shade below the line
10> < Graph y -3x + 2 on the coordinate plane. y Instead of testing a pointIf in y = mx + b form...ShadeupShadedownSolidlinex><Dashedline
11-3x -3x -4y > -3x + 12 -4 -4 Graph on the coordinate plane. y < x - 3xBoundary Linem =b = -3
12Graph y -3x + 2 on the coordinate plane. Boundary Liney = -3x + 2m = -3b = 2xTest a point not on the linetest (0,0)(0) + 2Not true!
13ProblemIf you have less than $5.00 in nickels and dimes,find an inequality and sketch a graph to describehow many of each coin you have.Let n = # of nickelsLet d = # of dimes0.05 n d < 5.00or5 n + 10 d < 500