Cathy is selling ice cream cones at a school fundraiser. Write and graph a system of inequalities that models this situation. First, identify the variables. There are two variables: the number of small cones and the number of large cones. Write the first equation: the maximum number of scoops she can give out.
Example 1 :. Write the inequality for the graph given below. Solution :. In the above graph, we find the filled circle. Now we have to look into the shaded portion. Example 2 :. In the above graph, we find the unfilled circle.
As you get further into Algebra 1, you will find that the real world problems become more complex. They have more questions to be answered and require more steps to find the solution. When you get into systems of inequalities, this is especially true because you are dealing with two inequalities. You have all the skills that you need to solve these problems. Take one step at a time and think about what you need in order to answer the question.
Did you know that you use linear inequalities when you shop online? In this section, you will apply what you know about graphing linear equations to graphing linear inequalities. Plotting inequalities is fairly straightforward if you follow a couple steps. You can use the x — and y -intercepts for this equation by substituting 0 in for x first and finding the value of y ; then substitute 0 in for y and find x. The next step is to find the region that contains the solutions.