TUTORIALS:

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.
