CPM Homework Help : CCA2 Problem 4-104

Graph the solutions to each of the following inequalities on a different set of axes. Label each graph with the inequality as given and with its $y=$ form. Choose a test point and show that it gives the same result in both forms of your inequality.

$3x−3<y$
Answer (a):
$y>3x−3$

$3>y$
Answer (b):
$y<3$

$3x−2y\le6$
Step 1(c):
Rewrite the inequality as an equation and solve for $y$ . Graph the line.
Hint (c):
Does the point $(0,0)$ make the original inequality true?
Answer (c):
$\textit{y} \ge \frac{3\textit{x}}{2} -3$

$x^2−y\le9$
Hint (d):
Repeat the steps used in part (a): Solve for $y$ ; graph the parabola; test $(0,0)$ ; decide where to shade.
Answer (d):
$y\ge x^2−9$