Graphing inequalities.

Think about how you've done inequalites on the number line. For instance, they'd ask you to graph something like x > 2. How did you do it? You would draw your number line, find the "equals" part (in this case, x = 2), mark this point with the appropriate notation (an open dot or a parenthesis, indicating that the point x = 2 wasn't included in the solution), and then you'd shade everything to the right, because "greater than" meant "everything off to the right". The steps for linear inequalities are very much the same. •

Graph the solution to y < 2x + 3. Just as for number-line inequalities, the first step is to find the "equals" part. In this case, the "equals" part is the line y = 2x + 3.

Try to graph these inequalities in your book; X < 7 X > 2 Y < x + 3 Y > x 3