Objectives: Learn to solve Linear Inequalities 3x + 2y > 6 y > 0

Graph of linear inequalities y > x + 3 y < -x - 2 Step 1: Graph points for y = x + 3 Step 2: Draw dotted line if < or > Draw solid line if < or > y > x + 3 Step 3: If the equation is in y = mx + b form, shade above line if > or > shade below line if < or < y < -x -2

Graph of linear inequalities y > x + 3 y < -x - 2 The only part that should actually be shaded is the part where the purple and green overlap. y > x + 3 So this is what the graph would look like on the CIM y < -x -2

Is this the correct graph? y > x + 5 y < -x Step 1: Make sure the lines are the correct lines. Step 2: Check to see if lines should be dotted or solid. (-5, 3) Step 3: Pick a point from the shaded area and check it in BOTH inequalities. If the point makes BOTH inequalities true, then it is the correct graph. ( 3 ) > ( -5 ) + 5 True ( 3 ) < -( -5 ) True

Match the graph below with the correct set of inequalities y < 0 y > ½ x - 1 y > 0 y > ½ x - 1 y > 0 y < ½ x -1 Answer: y> 0 and y > ½ x -1

Match the graph below with the correct set of inequalities 6x - 4y > -12 y > 0 6x - 4y < -12 y < 0 6x – 4y < -12 y > 0 Answer: 6x – 4y < -12 and y > 0

Mrs. Hofsted’s students are THE BEST!!!!!!!