Solving Multi-Step Linear Inequalities in Two Variables
Compare the inequalities given below. Notice that the first inequality includes one variable. The second inequality, however, includes two variables.
Inequality 1
3x − 6 > 18
Inequality 2
3x − 6y > 18
You are familiar with the process needed to solve the first inequality:
3x − 6 > 18
+ 6 + 6
_________________
3x > 24
____ ____
3 3
x > 8
When you consider the second inequality, how would you solve that one? How do you solve an inequality that includes two variables?
3x − 6y > 18
?
During this topic, you will learn the process to solve an inequality that includes two variables, as well as how to represent the solutions both algebraically and graphically.