8.3: Testing for Truth
This activity is intended to supplement Algebra I, Chapter 7, Lesson 6.
Problem 1  Is a Point a Solution?
In this activity, you will be determining if random points are solutions to inequalities. Before beginning the activity, you will need to set up the random number generator. Change the random seed using the last 4 digits of your phone number. Enter the digits, then rand on the home screen and press ENTER.
Below, you are given the inequality
Point 



T or F 





T 
You can check each equation on the home screen using the : menu. You can also check the solution by graphing the inequality, tracing to the given
Problem 2  Generating Solutions
In this problem, you are given two inequalities,
Complete the table below. Generate coordinates until you find at least one solution to the inequality.
Point 
Test: 
Test: 
Final answer? (T or F) 

ex: 
T 
T 
T 
Problem 3  Overlapping Regions
In this problem, three inequalities intersect to form a triangular region. Again, generate random numbers in
You can test the equations on the home screen using the list of elements instead of each individual coordinate.
You can graph each inequality and test a point by moving a freefloating cursor to approximately each coordinate in the table to see if it falls inside the shaded region.
Point 
Test: 
Test: 
Test: 
Final answer? (T or F) 

ex: 
T 
T 
F 
F 
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