CPM Homework Help : INT3 Problem 3-96

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3-96.

Sketch the graph of each of the following inequalities on a different set of axes.

$3x-3<y$
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):
$\textit{y} \ge \frac{3}{2} \textit{x} -2$

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

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