Graphing linear inequalities is a great way to really understand how they work. Here’s why it's so useful:
Seeing It Clearly: When you graph an inequality, like ( y < 2x + 1 ), you can see the shaded area that shows all the possible answers. This makes it much easier to understand.
Lines of Division: The dashed or solid line you draw (it depends on whether you're using (\leq) or (<)) helps you see where the solutions start and stop.
Checking Points: You can pick points to see if they belong in the shaded area. This helps you understand inequalities in a hands-on way.
In short, graphing takes complicated ideas and turns them into something easy to see and understand!
Graphing linear inequalities is a great way to really understand how they work. Here’s why it's so useful:
Seeing It Clearly: When you graph an inequality, like ( y < 2x + 1 ), you can see the shaded area that shows all the possible answers. This makes it much easier to understand.
Lines of Division: The dashed or solid line you draw (it depends on whether you're using (\leq) or (<)) helps you see where the solutions start and stop.
Checking Points: You can pick points to see if they belong in the shaded area. This helps you understand inequalities in a hands-on way.
In short, graphing takes complicated ideas and turns them into something easy to see and understand!