NAME:_______________________________________________
Algebra 2/Trig – Solving Quadratic Inequalities with 2-Variables CLASSWORK
DATE:_________
PERIOD:_______
Learning Goal: How do we solve a quadratic inequality with 2-variables?

DO NOW: Answer the following questions in order to prepare for today’s lesson.
1. Graph and label the equation on the following grid:
**HINT – use your graphing calculator to get a table of values (look for the turning point)
a) What type of equation did you
graph? What is the name of the
shape graphed?
2. What is the solution set of
b) What is the name of the turning
point of the graph? How do you
find it?
?
c) What do the points on the curve
represent?
Learning Goal: How do we solve a quadratic inequality with 2-variables?

COMPARE AND CONTRAST THE QUADRATIC INEQUALITIES BELOW.
SIMILARITIES

BELOW IS AN EXAMPLE OF HOW TO SOLVE QUADRATIC INEQUALITIES WITH 2-VARIABLES.
Learning Goal: How do we solve a quadratic inequality with 2-variables?
 SUMMARY OF STEPS:
1. Determine the type of parabola by looking at the inequality symbol
2. Isolate the y-variable:
3. Copy down a table of values from your calculator and graph the parabola
4. Test a point (x, y) INSIDE the parabola to determine where to shade (tells you the solution set) and
mark the shaded region with S.
Example: Graph and label
. Label the solution set with S.
Learning Goal: How do we solve a quadratic inequality with 2-variables?
1. Graph the solution set of the following inequality
2. Graph and label the solution set of the following inequality:
. Identify a point in the solution set.
Learning Goal: How do we solve a quadratic inequality with 2-variables?
3. Graph and label the solution set of the following inequality
the solution set.
. Identify a point in