### Home > A2C > Chapter 7 > Lesson 7.3.5 > Problem7-226

7-226.

Graph each of the following systems of inequalities.

1. ${ y \geq 3 ( x - 2 ) ^ { 2 } - 4 } \\ { y > - 2 | x - 1 | + 3 }$

First graph the system as if the inequalities were equations.

Test to see if the origin $\left(0,0\right)$works in either of the equations.

Now use this information to fill in the correct part of the graph.

1. ${ y > ( x - 1 ) ^ { 2 } - 5 } \\ { y > 3 x - 5 } \\ { y \leq \frac { 1 } { 2 } ( x - 1 ) ^ { 2 } + 1 }$

See part (a).