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 Depdendent Variable

 Number of equations to solve: 23456789
 Equ. #1:
 Equ. #2:

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 Solve for:

 Dependent Variable

 Number of inequalities to solve: 23456789
 Ineq. #1:
 Ineq. #2:

 Ineq. #3:

 Ineq. #4:

 Ineq. #5:

 Ineq. #6:

 Ineq. #7:

 Ineq. #8:

 Ineq. #9:

 Solve for:

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Solving Quadratic Inequalities

You will be able to:

1. Identify quadratic inequalities in one variable.

2. Solve quadratic inequalities graphically

Standard Form for a Quadratic Inequality in One Variable:

ax + bx + c < 0

ax + bx + c > 0

ax + bx + c 0

ax + bx + c 0

To solve quadratic equations graphically:

• Graph both parabolas on the same coordinate plane.

• Determine the intersections, if they exist.

• Locate the portion of the y 1 graph below the y 2 graph if the inequality is “less than.” Locate the portion of the y 1 graph above the y 2 graph if the inequality is “greater than.”

• Determine the x -coordinates for this portion of the graph.

• If the portion is to the left of the intersection, then x is less than the x -coordinate of the intersection.
• If the portion is to the right of the intersection, then x is greater than the x -coordinate of the intersection.
• If the portion is between the left and right intersections, then x is greater than the x -coordinate of the left intersection and less than the x -coordinate of the right intersection.