CPM Homework Help : A2C Problem 7-226

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Home > A2C > Chapter 7 > Lesson 7.3.5 > Problem 7-226

7-226.

Graph each of the following systems of inequalities.

${ y \geq 3 ( x - 2 ) ^ { 2 } - 4 } \\ { y > - 2 | x - 1 | + 3 }$
Step 1(a):
First graph the system as if the inequalities were equations.
Step 2(a):
Test to see if the origin $\left(0,0\right)$ works in either of the equations.
Step 3(a):
Now use this information to fill in the correct part of the graph.

${ y > ( x - 1 ) ^ { 2 } - 5 } \\ { y > 3 x - 5 } \\ { y \leq \frac { 1 } { 2 } ( x - 1 ) ^ { 2 } + 1 }$
Hint (b):
See part (a).

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