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• WHAT WE WANT TO ACHIEVE ISYOU KNOW WHAT ARE QUADRATIC INEQUALITIES.YOU CAN GRAPH QUADRATIC INEQUALITIES IN TWO VARIABLES.3. YOU CAN SOLVE QUADRATIC INEQUALITIES IN ONE VARIABLE.4. YOU CAN SOLVE WORD QUESTIONS AND MAKE APPROPRIATE EXPRESSION WITH THE GIVEN CONDITION.

• FIRST,

• 1. HOW TO GRAPH

• It is similar with quadratic functionIf the question asks you to graph y>2x+4x-1, graph the related function which is y=2x+4x-1BUT you have to consider about the parabola solid or dotted?

STEP 1: Graph the related function

• If the equation has the or y2x+4x-1, it is solid line.(greater/less than or equal to solid)

If the equation has the < or >y>2x+4x-1, it is dotted line.(greater/less than -dotted)

• Solid for y2x+4x-1Dotted for y>2x+4x-1

• You have to test a point to decide where to shade

Pick a point that is not on the parabola and substitute to the function! ex) y>2x+4x-1 0>20+40-1 ? 0> -1 O So, (0,0) is a solution of the inequality. STEP 2: Decide where to shade

• Shade the right region!Since (0,0) IS the solution of the function, shade the place that contains the point.If the point you chose is NOT the solution, you should shade the place that does not contain the point.STEP 3: Shade

• y2x+4x-1y>2x+4x-1

• Graphing Quadratic Inequalitiesy=x2+4x+2 Equation only includes the points on the graph (the u shape)

• y>x2+4x+2 inequality only includes the points inside the u-shapeDotted Line

• y
• yx2+4x+2 inequality both outside and on the parabolaSolid Line

• yx2+4x+2 inequality both inside and on the parabolaSolid Line

• A system where they overlapy2x2 and y
• Try graphing the system

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